5x(3x-2)(3x-2)-4x(2x+5)(2x+5)-(3x+4)(3x+4)(x-7)=0

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Solution for 5x(3x-2)(3x-2)-4x(2x+5)(2x+5)-(3x+4)(3x+4)(x-7)=0 equation: 


Simplifying
5x(3x + -2)(3x + -2) + -4x(2x + 5)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0

Reorder the terms:
5x(-2 + 3x)(3x + -2) + -4x(2x + 5)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0

Reorder the terms:
5x(-2 + 3x)(-2 + 3x) + -4x(2x + 5)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0

Multiply (-2 + 3x) * (-2 + 3x)
5x(-2(-2 + 3x) + 3x * (-2 + 3x)) + -4x(2x + 5)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0
5x((-2 * -2 + 3x * -2) + 3x * (-2 + 3x)) + -4x(2x + 5)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0
5x((4 + -6x) + 3x * (-2 + 3x)) + -4x(2x + 5)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0
5x(4 + -6x + (-2 * 3x + 3x * 3x)) + -4x(2x + 5)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0
5x(4 + -6x + (-6x + 9x2)) + -4x(2x + 5)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0

Combine like terms: -6x + -6x = -12x
5x(4 + -12x + 9x2) + -4x(2x + 5)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0
(4 * 5x + -12x * 5x + 9x2 * 5x) + -4x(2x + 5)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0
(20x + -60x2 + 45x3) + -4x(2x + 5)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0

Reorder the terms:
20x + -60x2 + 45x3 + -4x(5 + 2x)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0

Reorder the terms:
20x + -60x2 + 45x3 + -4x(5 + 2x)(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0

Multiply (5 + 2x) * (5 + 2x)
20x + -60x2 + 45x3 + -4x(5(5 + 2x) + 2x * (5 + 2x)) + -1(3x + 4)(3x + 4)(x + -7) = 0
20x + -60x2 + 45x3 + -4x((5 * 5 + 2x * 5) + 2x * (5 + 2x)) + -1(3x + 4)(3x + 4)(x + -7) = 0
20x + -60x2 + 45x3 + -4x((25 + 10x) + 2x * (5 + 2x)) + -1(3x + 4)(3x + 4)(x + -7) = 0
20x + -60x2 + 45x3 + -4x(25 + 10x + (5 * 2x + 2x * 2x)) + -1(3x + 4)(3x + 4)(x + -7) = 0
20x + -60x2 + 45x3 + -4x(25 + 10x + (10x + 4x2)) + -1(3x + 4)(3x + 4)(x + -7) = 0

Combine like terms: 10x + 10x = 20x
20x + -60x2 + 45x3 + -4x(25 + 20x + 4x2) + -1(3x + 4)(3x + 4)(x + -7) = 0
20x + -60x2 + 45x3 + (25 * -4x + 20x * -4x + 4x2 * -4x) + -1(3x + 4)(3x + 4)(x + -7) = 0
20x + -60x2 + 45x3 + (-100x + -80x2 + -16x3) + -1(3x + 4)(3x + 4)(x + -7) = 0

Reorder the terms:
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1(4 + 3x)(3x + 4)(x + -7) = 0

Reorder the terms:
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1(4 + 3x)(4 + 3x)(x + -7) = 0

Reorder the terms:
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1(4 + 3x)(4 + 3x)(-7 + x) = 0

Multiply (4 + 3x) * (4 + 3x)
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1(4(4 + 3x) + 3x * (4 + 3x))(-7 + x) = 0
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1((4 * 4 + 3x * 4) + 3x * (4 + 3x))(-7 + x) = 0
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1((16 + 12x) + 3x * (4 + 3x))(-7 + x) = 0
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1(16 + 12x + (4 * 3x + 3x * 3x))(-7 + x) = 0
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1(16 + 12x + (12x + 9x2))(-7 + x) = 0

Combine like terms: 12x + 12x = 24x
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1(16 + 24x + 9x2)(-7 + x) = 0

Multiply (16 + 24x + 9x2) * (-7 + x)
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1(16(-7 + x) + 24x * (-7 + x) + 9x2 * (-7 + x)) = 0
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1((-7 * 16 + x * 16) + 24x * (-7 + x) + 9x2 * (-7 + x)) = 0
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1((-112 + 16x) + 24x * (-7 + x) + 9x2 * (-7 + x)) = 0
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1(-112 + 16x + (-7 * 24x + x * 24x) + 9x2 * (-7 + x)) = 0
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1(-112 + 16x + (-168x + 24x2) + 9x2 * (-7 + x)) = 0
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1(-112 + 16x + -168x + 24x2 + (-7 * 9x2 + x * 9x2)) = 0
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1(-112 + 16x + -168x + 24x2 + (-63x2 + 9x3)) = 0

Combine like terms: 16x + -168x = -152x
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1(-112 + -152x + 24x2 + -63x2 + 9x3) = 0

Combine like terms: 24x2 + -63x2 = -39x2
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + -1(-112 + -152x + -39x2 + 9x3) = 0
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + (-112 * -1 + -152x * -1 + -39x2 * -1 + 9x3 * -1) = 0
20x + -60x2 + 45x3 + -100x + -80x2 + -16x3 + (112 + 152x + 39x2 + -9x3) = 0

Reorder the terms:
112 + 20x + -100x + 152x + -60x2 + -80x2 + 39x2 + 45x3 + -16x3 + -9x3 = 0

Combine like terms: 20x + -100x = -80x
112 + -80x + 152x + -60x2 + -80x2 + 39x2 + 45x3 + -16x3 + -9x3 = 0

Combine like terms: -80x + 152x = 72x
112 + 72x + -60x2 + -80x2 + 39x2 + 45x3 + -16x3 + -9x3 = 0

Combine like terms: -60x2 + -80x2 = -140x2
112 + 72x + -140x2 + 39x2 + 45x3 + -16x3 + -9x3 = 0

Combine like terms: -140x2 + 39x2 = -101x2
112 + 72x + -101x2 + 45x3 + -16x3 + -9x3 = 0

Combine like terms: 45x3 + -16x3 = 29x3
112 + 72x + -101x2 + 29x3 + -9x3 = 0

Combine like terms: 29x3 + -9x3 = 20x3
112 + 72x + -101x2 + 20x3 = 0

Solving
112 + 72x + -101x2 + 20x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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