3(x-2)(x-2)(x+5)=3(x+1)(x+1)(x-1)+3

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


Simplifying
3(x + -2)(x + -2)(x + 5) = 3(x + 1)(x + 1)(x + -1) + 3

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

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

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

Multiply (-2 + x) * (-2 + x)
3(-2(-2 + x) + x(-2 + x))(5 + x) = 3(x + 1)(x + 1)(x + -1) + 3
3((-2 * -2 + x * -2) + x(-2 + x))(5 + x) = 3(x + 1)(x + 1)(x + -1) + 3
3((4 + -2x) + x(-2 + x))(5 + x) = 3(x + 1)(x + 1)(x + -1) + 3
3(4 + -2x + (-2 * x + x * x))(5 + x) = 3(x + 1)(x + 1)(x + -1) + 3
3(4 + -2x + (-2x + x2))(5 + x) = 3(x + 1)(x + 1)(x + -1) + 3

Combine like terms: -2x + -2x = -4x
3(4 + -4x + x2)(5 + x) = 3(x + 1)(x + 1)(x + -1) + 3

Multiply (4 + -4x + x2) * (5 + x)
3(4(5 + x) + -4x * (5 + x) + x2(5 + x)) = 3(x + 1)(x + 1)(x + -1) + 3
3((5 * 4 + x * 4) + -4x * (5 + x) + x2(5 + x)) = 3(x + 1)(x + 1)(x + -1) + 3
3((20 + 4x) + -4x * (5 + x) + x2(5 + x)) = 3(x + 1)(x + 1)(x + -1) + 3
3(20 + 4x + (5 * -4x + x * -4x) + x2(5 + x)) = 3(x + 1)(x + 1)(x + -1) + 3
3(20 + 4x + (-20x + -4x2) + x2(5 + x)) = 3(x + 1)(x + 1)(x + -1) + 3
3(20 + 4x + -20x + -4x2 + (5 * x2 + x * x2)) = 3(x + 1)(x + 1)(x + -1) + 3
3(20 + 4x + -20x + -4x2 + (5x2 + x3)) = 3(x + 1)(x + 1)(x + -1) + 3

Combine like terms: 4x + -20x = -16x
3(20 + -16x + -4x2 + 5x2 + x3) = 3(x + 1)(x + 1)(x + -1) + 3

Combine like terms: -4x2 + 5x2 = 1x2
3(20 + -16x + 1x2 + x3) = 3(x + 1)(x + 1)(x + -1) + 3
(20 * 3 + -16x * 3 + 1x2 * 3 + x3 * 3) = 3(x + 1)(x + 1)(x + -1) + 3
(60 + -48x + 3x2 + 3x3) = 3(x + 1)(x + 1)(x + -1) + 3

Reorder the terms:
60 + -48x + 3x2 + 3x3 = 3(1 + x)(x + 1)(x + -1) + 3

Reorder the terms:
60 + -48x + 3x2 + 3x3 = 3(1 + x)(1 + x)(x + -1) + 3

Reorder the terms:
60 + -48x + 3x2 + 3x3 = 3(1 + x)(1 + x)(-1 + x) + 3

Multiply (1 + x) * (1 + x)
60 + -48x + 3x2 + 3x3 = 3(1(1 + x) + x(1 + x))(-1 + x) + 3
60 + -48x + 3x2 + 3x3 = 3((1 * 1 + x * 1) + x(1 + x))(-1 + x) + 3
60 + -48x + 3x2 + 3x3 = 3((1 + 1x) + x(1 + x))(-1 + x) + 3
60 + -48x + 3x2 + 3x3 = 3(1 + 1x + (1 * x + x * x))(-1 + x) + 3
60 + -48x + 3x2 + 3x3 = 3(1 + 1x + (1x + x2))(-1 + x) + 3

Combine like terms: 1x + 1x = 2x
60 + -48x + 3x2 + 3x3 = 3(1 + 2x + x2)(-1 + x) + 3

Multiply (1 + 2x + x2) * (-1 + x)
60 + -48x + 3x2 + 3x3 = 3(1(-1 + x) + 2x * (-1 + x) + x2(-1 + x)) + 3
60 + -48x + 3x2 + 3x3 = 3((-1 * 1 + x * 1) + 2x * (-1 + x) + x2(-1 + x)) + 3
60 + -48x + 3x2 + 3x3 = 3((-1 + 1x) + 2x * (-1 + x) + x2(-1 + x)) + 3
60 + -48x + 3x2 + 3x3 = 3(-1 + 1x + (-1 * 2x + x * 2x) + x2(-1 + x)) + 3
60 + -48x + 3x2 + 3x3 = 3(-1 + 1x + (-2x + 2x2) + x2(-1 + x)) + 3
60 + -48x + 3x2 + 3x3 = 3(-1 + 1x + -2x + 2x2 + (-1 * x2 + x * x2)) + 3
60 + -48x + 3x2 + 3x3 = 3(-1 + 1x + -2x + 2x2 + (-1x2 + x3)) + 3

Combine like terms: 1x + -2x = -1x
60 + -48x + 3x2 + 3x3 = 3(-1 + -1x + 2x2 + -1x2 + x3) + 3

Combine like terms: 2x2 + -1x2 = 1x2
60 + -48x + 3x2 + 3x3 = 3(-1 + -1x + 1x2 + x3) + 3
60 + -48x + 3x2 + 3x3 = (-1 * 3 + -1x * 3 + 1x2 * 3 + x3 * 3) + 3
60 + -48x + 3x2 + 3x3 = (-3 + -3x + 3x2 + 3x3) + 3

Reorder the terms:
60 + -48x + 3x2 + 3x3 = -3 + 3 + -3x + 3x2 + 3x3

Combine like terms: -3 + 3 = 0
60 + -48x + 3x2 + 3x3 = 0 + -3x + 3x2 + 3x3
60 + -48x + 3x2 + 3x3 = -3x + 3x2 + 3x3

Add '-3x2' to each side of the equation.
60 + -48x + 3x2 + -3x2 + 3x3 = -3x + 3x2 + -3x2 + 3x3

Combine like terms: 3x2 + -3x2 = 0
60 + -48x + 0 + 3x3 = -3x + 3x2 + -3x2 + 3x3
60 + -48x + 3x3 = -3x + 3x2 + -3x2 + 3x3

Combine like terms: 3x2 + -3x2 = 0
60 + -48x + 3x3 = -3x + 0 + 3x3
60 + -48x + 3x3 = -3x + 3x3

Add '-3x3' to each side of the equation.
60 + -48x + 3x3 + -3x3 = -3x + 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
60 + -48x + 0 = -3x + 3x3 + -3x3
60 + -48x = -3x + 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
60 + -48x = -3x + 0
60 + -48x = -3x

Solving
60 + -48x = -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
60 + -48x + 3x = -3x + 3x

Combine like terms: -48x + 3x = -45x
60 + -45x = -3x + 3x

Combine like terms: -3x + 3x = 0
60 + -45x = 0

Add '-60' to each side of the equation.
60 + -60 + -45x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -45x = 0 + -60
-45x = 0 + -60

Combine like terms: 0 + -60 = -60
-45x = -60

Divide each side by '-45'.
x = 1.333333333

Simplifying
x = 1.333333333

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