(4x+1)(2x+3)(5x-1)(x+2)(2x-5)(9x+4)(5x)=180

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Solution for (4x+1)(2x+3)(5x-1)(x+2)(2x-5)(9x+4)(5x)=180 equation:

Simplifying
(4x + 1)(2x + 3)(5x + -1)(x + 2)(2x + -5)(9x + 4)(5x) = 180

Reorder the terms:
(1 + 4x)(2x + 3)(5x + -1)(x + 2)(2x + -5)(9x + 4)(5x) = 180

Reorder the terms:
(1 + 4x)(3 + 2x)(5x + -1)(x + 2)(2x + -5)(9x + 4)(5x) = 180

Reorder the terms:
(1 + 4x)(3 + 2x)(-1 + 5x)(x + 2)(2x + -5)(9x + 4)(5x) = 180

Reorder the terms:
(1 + 4x)(3 + 2x)(-1 + 5x)(2 + x)(2x + -5)(9x + 4)(5x) = 180

Reorder the terms:
(1 + 4x)(3 + 2x)(-1 + 5x)(2 + x)(-5 + 2x)(9x + 4)(5x) = 180

Reorder the terms:
(1 + 4x)(3 + 2x)(-1 + 5x)(2 + x)(-5 + 2x)(4 + 9x)(5x) = 180

Remove parenthesis around (5x)
(1 + 4x)(3 + 2x)(-1 + 5x)(2 + x)(-5 + 2x)(4 + 9x) * 5x = 180

Reorder the terms for easier multiplication:
5x(1 + 4x)(3 + 2x)(-1 + 5x)(2 + x)(-5 + 2x)(4 + 9x) = 180

Multiply (1 + 4x) * (3 + 2x)
5x(1(3 + 2x) + 4x * (3 + 2x))(-1 + 5x)(2 + x)(-5 + 2x)(4 + 9x) = 180
5x((3 * 1 + 2x * 1) + 4x * (3 + 2x))(-1 + 5x)(2 + x)(-5 + 2x)(4 + 9x) = 180
5x((3 + 2x) + 4x * (3 + 2x))(-1 + 5x)(2 + x)(-5 + 2x)(4 + 9x) = 180
5x(3 + 2x + (3 * 4x + 2x * 4x))(-1 + 5x)(2 + x)(-5 + 2x)(4 + 9x) = 180
5x(3 + 2x + (12x + 8x²))(-1 + 5x)(2 + x)(-5 + 2x)(4 + 9x) = 180

Combine like terms: 2x + 12x = 14x
5x(3 + 14x + 8x²)(-1 + 5x)(2 + x)(-5 + 2x)(4 + 9x) = 180

Multiply (3 + 14x + 8x²) * (-1 + 5x)
5x(3(-1 + 5x) + 14x * (-1 + 5x) + 8x² * (-1 + 5x))(2 + x)(-5 + 2x)(4 + 9x) = 180
5x((-1 * 3 + 5x * 3) + 14x * (-1 + 5x) + 8x² * (-1 + 5x))(2 + x)(-5 + 2x)(4 + 9x) = 180
5x((-3 + 15x) + 14x * (-1 + 5x) + 8x² * (-1 + 5x))(2 + x)(-5 + 2x)(4 + 9x) = 180
5x(-3 + 15x + (-1 * 14x + 5x * 14x) + 8x² * (-1 + 5x))(2 + x)(-5 + 2x)(4 + 9x) = 180
5x(-3 + 15x + (-14x + 70x²) + 8x² * (-1 + 5x))(2 + x)(-5 + 2x)(4 + 9x) = 180
5x(-3 + 15x + -14x + 70x² + (-1 * 8x² + 5x * 8x²))(2 + x)(-5 + 2x)(4 + 9x) = 180
5x(-3 + 15x + -14x + 70x² + (-8x² + 40x³))(2 + x)(-5 + 2x)(4 + 9x) = 180

Combine like terms: 15x + -14x = 1x
5x(-3 + 1x + 70x² + -8x² + 40x³)(2 + x)(-5 + 2x)(4 + 9x) = 180

Combine like terms: 70x² + -8x² = 62x²
5x(-3 + 1x + 62x² + 40x³)(2 + x)(-5 + 2x)(4 + 9x) = 180

Multiply (-3 + 1x + 62x² + 40x³) * (2 + x)
5x(-3(2 + x) + 1x * (2 + x) + 62x² * (2 + x) + 40x³ * (2 + x))(-5 + 2x)(4 + 9x) = 180
5x((2 * -3 + x * -3) + 1x * (2 + x) + 62x² * (2 + x) + 40x³ * (2 + x))(-5 + 2x)(4 + 9x) = 180
5x((-6 + -3x) + 1x * (2 + x) + 62x² * (2 + x) + 40x³ * (2 + x))(-5 + 2x)(4 + 9x) = 180
5x(-6 + -3x + (2 * 1x + x * 1x) + 62x² * (2 + x) + 40x³ * (2 + x))(-5 + 2x)(4 + 9x) = 180
5x(-6 + -3x + (2x + 1x²) + 62x² * (2 + x) + 40x³ * (2 + x))(-5 + 2x)(4 + 9x) = 180
5x(-6 + -3x + 2x + 1x² + (2 * 62x² + x * 62x²) + 40x³ * (2 + x))(-5 + 2x)(4 + 9x) = 180
5x(-6 + -3x + 2x + 1x² + (124x² + 62x³) + 40x³ * (2 + x))(-5 + 2x)(4 + 9x) = 180
5x(-6 + -3x + 2x + 1x² + 124x² + 62x³ + (2 * 40x³ + x * 40x³))(-5 + 2x)(4 + 9x) = 180
5x(-6 + -3x + 2x + 1x² + 124x² + 62x³ + (80x³ + 40x⁴))(-5 + 2x)(4 + 9x) = 180

Combine like terms: -3x + 2x = -1x
5x(-6 + -1x + 1x² + 124x² + 62x³ + 80x³ + 40x⁴)(-5 + 2x)(4 + 9x) = 180

Combine like terms: 1x² + 124x² = 125x²
5x(-6 + -1x + 125x² + 62x³ + 80x³ + 40x⁴)(-5 + 2x)(4 + 9x) = 180

Combine like terms: 62x³ + 80x³ = 142x³
5x(-6 + -1x + 125x² + 142x³ + 40x⁴)(-5 + 2x)(4 + 9x) = 180

Multiply (-6 + -1x + 125x² + 142x³ + 40x⁴) * (-5 + 2x)
5x(-6(-5 + 2x) + -1x * (-5 + 2x) + 125x² * (-5 + 2x) + 142x³ * (-5 + 2x) + 40x⁴ * (-5 + 2x))(4 + 9x) = 180
5x((-5 * -6 + 2x * -6) + -1x * (-5 + 2x) + 125x² * (-5 + 2x) + 142x³ * (-5 + 2x) + 40x⁴ * (-5 + 2x))(4 + 9x) = 180
5x((30 + -12x) + -1x * (-5 + 2x) + 125x² * (-5 + 2x) + 142x³ * (-5 + 2x) + 40x⁴ * (-5 + 2x))(4 + 9x) = 180
5x(30 + -12x + (-5 * -1x + 2x * -1x) + 125x² * (-5 + 2x) + 142x³ * (-5 + 2x) + 40x⁴ * (-5 + 2x))(4 + 9x) = 180
5x(30 + -12x + (5x + -2x²) + 125x² * (-5 + 2x) + 142x³ * (-5 + 2x) + 40x⁴ * (-5 + 2x))(4 + 9x) = 180
5x(30 + -12x + 5x + -2x² + (-5 * 125x² + 2x * 125x²) + 142x³ * (-5 + 2x) + 40x⁴ * (-5 + 2x))(4 + 9x) = 180
5x(30 + -12x + 5x + -2x² + (-625x² + 250x³) + 142x³ * (-5 + 2x) + 40x⁴ * (-5 + 2x))(4 + 9x) = 180
5x(30 + -12x + 5x + -2x² + -625x² + 250x³ + (-5 * 142x³ + 2x * 142x³) + 40x⁴ * (-5 + 2x))(4 + 9x) = 180
5x(30 + -12x + 5x + -2x² + -625x² + 250x³ + (-710x³ + 284x⁴) + 40x⁴ * (-5 + 2x))(4 + 9x) = 180
5x(30 + -12x + 5x + -2x² + -625x² + 250x³ + -710x³ + 284x⁴ + (-5 * 40x⁴ + 2x * 40x⁴))(4 + 9x) = 180
5x(30 + -12x + 5x + -2x² + -625x² + 250x³ + -710x³ + 284x⁴ + (-200x⁴ + 80x⁵))(4 + 9x) = 180

Combine like terms: -12x + 5x = -7x
5x(30 + -7x + -2x² + -625x² + 250x³ + -710x³ + 284x⁴ + -200x⁴ + 80x⁵)(4 + 9x) = 180

Combine like terms: -2x² + -625x² = -627x²
5x(30 + -7x + -627x² + 250x³ + -710x³ + 284x⁴ + -200x⁴ + 80x⁵)(4 + 9x) = 180

Combine like terms: 250x³ + -710x³ = -460x³
5x(30 + -7x + -627x² + -460x³ + 284x⁴ + -200x⁴ + 80x⁵)(4 + 9x) = 180

Combine like terms: 284x⁴ + -200x⁴ = 84x⁴
5x(30 + -7x + -627x² + -460x³ + 84x⁴ + 80x⁵)(4 + 9x) = 180

Multiply (30 + -7x + -627x² + -460x³ + 84x⁴ + 80x⁵) * (4 + 9x)
5x(30(4 + 9x) + -7x * (4 + 9x) + -627x² * (4 + 9x) + -460x³ * (4 + 9x) + 84x⁴ * (4 + 9x) + 80x⁵ * (4 + 9x)) = 180
5x((4 * 30 + 9x * 30) + -7x * (4 + 9x) + -627x² * (4 + 9x) + -460x³ * (4 + 9x) + 84x⁴ * (4 + 9x) + 80x⁵ * (4 + 9x)) = 180
5x((120 + 270x) + -7x * (4 + 9x) + -627x² * (4 + 9x) + -460x³ * (4 + 9x) + 84x⁴ * (4 + 9x) + 80x⁵ * (4 + 9x)) = 180
5x(120 + 270x + (4 * -7x + 9x * -7x) + -627x² * (4 + 9x) + -460x³ * (4 + 9x) + 84x⁴ * (4 + 9x) + 80x⁵ * (4 + 9x)) = 180
5x(120 + 270x + (-28x + -63x²) + -627x² * (4 + 9x) + -460x³ * (4 + 9x) + 84x⁴ * (4 + 9x) + 80x⁵ * (4 + 9x)) = 180
5x(120 + 270x + -28x + -63x² + (4 * -627x² + 9x * -627x²) + -460x³ * (4 + 9x) + 84x⁴ * (4 + 9x) + 80x⁵ * (4 + 9x)) = 180
5x(120 + 270x + -28x + -63x² + (-2508x² + -5643x³) + -460x³ * (4 + 9x) + 84x⁴ * (4 + 9x) + 80x⁵ * (4 + 9x)) = 180
5x(120 + 270x + -28x + -63x² + -2508x² + -5643x³ + (4 * -460x³ + 9x * -460x³) + 84x⁴ * (4 + 9x) + 80x⁵ * (4 + 9x)) = 180
5x(120 + 270x + -28x + -63x² + -2508x² + -5643x³ + (-1840x³ + -4140x⁴) + 84x⁴ * (4 + 9x) + 80x⁵ * (4 + 9x)) = 180
5x(120 + 270x + -28x + -63x² + -2508x² + -5643x³ + -1840x³ + -4140x⁴ + (4 * 84x⁴ + 9x * 84x⁴) + 80x⁵ * (4 + 9x)) = 180
5x(120 + 270x + -28x + -63x² + -2508x² + -5643x³ + -1840x³ + -4140x⁴ + (336x⁴ + 756x⁵) + 80x⁵ * (4 + 9x)) = 180
5x(120 + 270x + -28x + -63x² + -2508x² + -5643x³ + -1840x³ + -4140x⁴ + 336x⁴ + 756x⁵ + (4 * 80x⁵ + 9x * 80x⁵)) = 180
5x(120 + 270x + -28x + -63x² + -2508x² + -5643x³ + -1840x³ + -4140x⁴ + 336x⁴ + 756x⁵ + (320x⁵ + 720x⁶)) = 180

Combine like terms: 270x + -28x = 242x
5x(120 + 242x + -63x² + -2508x² + -5643x³ + -1840x³ + -4140x⁴ + 336x⁴ + 756x⁵ + 320x⁵ + 720x⁶) = 180

Combine like terms: -63x² + -2508x² = -2571x²
5x(120 + 242x + -2571x² + -5643x³ + -1840x³ + -4140x⁴ + 336x⁴ + 756x⁵ + 320x⁵ + 720x⁶) = 180

Combine like terms: -5643x³ + -1840x³ = -7483x³
5x(120 + 242x + -2571x² + -7483x³ + -4140x⁴ + 336x⁴ + 756x⁵ + 320x⁵ + 720x⁶) = 180

Combine like terms: -4140x⁴ + 336x⁴ = -3804x⁴
5x(120 + 242x + -2571x² + -7483x³ + -3804x⁴ + 756x⁵ + 320x⁵ + 720x⁶) = 180

Combine like terms: 756x⁵ + 320x⁵ = 1076x⁵
5x(120 + 242x + -2571x² + -7483x³ + -3804x⁴ + 1076x⁵ + 720x⁶) = 180
(120 * 5x + 242x * 5x + -2571x² * 5x + -7483x³ * 5x + -3804x⁴ * 5x + 1076x⁵ * 5x + 720x⁶ * 5x) = 180
(600x + 1210x² + -12855x³ + -37415x⁴ + -19020x⁵ + 5380x⁶ + 3600x⁷) = 180

Solving
600x + 1210x² + -12855x³ + -37415x⁴ + -19020x⁵ + 5380x⁶ + 3600x⁷ = 180

Solving for variable 'x'.

Reorder the terms:
-180 + 600x + 1210x² + -12855x³ + -37415x⁴ + -19020x⁵ + 5380x⁶ + 3600x⁷ = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 600x + 1210x² + -12855x³ + -37415x⁴ + -19020x⁵ + 5380x⁶ + 3600x⁷ = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-36 + 120x + 242x² + -2571x³ + -7483x⁴ + -3804x⁵ + 1076x⁶ + 720x⁷) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-36 + 120x + 242x² + -2571x³ + -7483x⁴ + -3804x⁵ + 1076x⁶ + 720x⁷)' equal to zero and attempt to solve:

Simplifying
-36 + 120x + 242x² + -2571x³ + -7483x⁴ + -3804x⁵ + 1076x⁶ + 720x⁷ = 0

Solving
-36 + 120x + 242x² + -2571x³ + -7483x⁴ + -3804x⁵ + 1076x⁶ + 720x⁷ = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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(4x+1)(2x+3)(5x-1)(x+2)(2x-5)(9x+4)(5x)=180

Simple and best practice solution for (4x+1)(2x+3)(5x-1)(x+2)(2x-5)(9x+4)(5x)=180 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for (4x+1)(2x+3)(5x-1)(x+2)(2x-5)(9x+4)(5x)=180 equation:

Subproblem 1

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