(4x-1)(5x+3)(5x+3)-4(4x-1)=0

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Solution for (4x-1)(5x+3)(5x+3)-4(4x-1)=0 equation: 


Simplifying
(4x + -1)(5x + 3)(5x + 3) + -4(4x + -1) = 0

Reorder the terms:
(-1 + 4x)(5x + 3)(5x + 3) + -4(4x + -1) = 0

Reorder the terms:
(-1 + 4x)(3 + 5x)(5x + 3) + -4(4x + -1) = 0

Reorder the terms:
(-1 + 4x)(3 + 5x)(3 + 5x) + -4(4x + -1) = 0

Multiply (-1 + 4x) * (3 + 5x)
(-1(3 + 5x) + 4x * (3 + 5x))(3 + 5x) + -4(4x + -1) = 0
((3 * -1 + 5x * -1) + 4x * (3 + 5x))(3 + 5x) + -4(4x + -1) = 0
((-3 + -5x) + 4x * (3 + 5x))(3 + 5x) + -4(4x + -1) = 0
(-3 + -5x + (3 * 4x + 5x * 4x))(3 + 5x) + -4(4x + -1) = 0
(-3 + -5x + (12x + 20x2))(3 + 5x) + -4(4x + -1) = 0

Combine like terms: -5x + 12x = 7x
(-3 + 7x + 20x2)(3 + 5x) + -4(4x + -1) = 0

Multiply (-3 + 7x + 20x2) * (3 + 5x)
(-3(3 + 5x) + 7x * (3 + 5x) + 20x2 * (3 + 5x)) + -4(4x + -1) = 0
((3 * -3 + 5x * -3) + 7x * (3 + 5x) + 20x2 * (3 + 5x)) + -4(4x + -1) = 0
((-9 + -15x) + 7x * (3 + 5x) + 20x2 * (3 + 5x)) + -4(4x + -1) = 0
(-9 + -15x + (3 * 7x + 5x * 7x) + 20x2 * (3 + 5x)) + -4(4x + -1) = 0
(-9 + -15x + (21x + 35x2) + 20x2 * (3 + 5x)) + -4(4x + -1) = 0
(-9 + -15x + 21x + 35x2 + (3 * 20x2 + 5x * 20x2)) + -4(4x + -1) = 0
(-9 + -15x + 21x + 35x2 + (60x2 + 100x3)) + -4(4x + -1) = 0

Combine like terms: -15x + 21x = 6x
(-9 + 6x + 35x2 + 60x2 + 100x3) + -4(4x + -1) = 0

Combine like terms: 35x2 + 60x2 = 95x2
(-9 + 6x + 95x2 + 100x3) + -4(4x + -1) = 0

Reorder the terms:
-9 + 6x + 95x2 + 100x3 + -4(-1 + 4x) = 0
-9 + 6x + 95x2 + 100x3 + (-1 * -4 + 4x * -4) = 0
-9 + 6x + 95x2 + 100x3 + (4 + -16x) = 0

Reorder the terms:
-9 + 4 + 6x + -16x + 95x2 + 100x3 = 0

Combine like terms: -9 + 4 = -5
-5 + 6x + -16x + 95x2 + 100x3 = 0

Combine like terms: 6x + -16x = -10x
-5 + -10x + 95x2 + 100x3 = 0

Solving
-5 + -10x + 95x2 + 100x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-1 + -2x + 19x2 + 20x3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-1 + -2x + 19x2 + 20x3)' equal to zero and attempt to solve:

Simplifying
-1 + -2x + 19x2 + 20x3 = 0

Solving
-1 + -2x + 19x2 + 20x3 = 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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