-5((x-2)(x-2))=-5(x-2)(x+4)

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


Simplifying
-5((x + -2)(x + -2)) = -5(x + -2)(x + 4)

Reorder the terms:
-5((-2 + x)(x + -2)) = -5(x + -2)(x + 4)

Reorder the terms:
-5((-2 + x)(-2 + x)) = -5(x + -2)(x + 4)

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

Combine like terms: -2x + -2x = -4x
-5((4 + -4x + x2)) = -5(x + -2)(x + 4)
(4 * -5 + -4x * -5 + x2 * -5) = -5(x + -2)(x + 4)
(-20 + 20x + -5x2) = -5(x + -2)(x + 4)

Reorder the terms:
-20 + 20x + -5x2 = -5(-2 + x)(x + 4)

Reorder the terms:
-20 + 20x + -5x2 = -5(-2 + x)(4 + x)

Multiply (-2 + x) * (4 + x)
-20 + 20x + -5x2 = -5(-2(4 + x) + x(4 + x))
-20 + 20x + -5x2 = -5((4 * -2 + x * -2) + x(4 + x))
-20 + 20x + -5x2 = -5((-8 + -2x) + x(4 + x))
-20 + 20x + -5x2 = -5(-8 + -2x + (4 * x + x * x))
-20 + 20x + -5x2 = -5(-8 + -2x + (4x + x2))

Combine like terms: -2x + 4x = 2x
-20 + 20x + -5x2 = -5(-8 + 2x + x2)
-20 + 20x + -5x2 = (-8 * -5 + 2x * -5 + x2 * -5)
-20 + 20x + -5x2 = (40 + -10x + -5x2)

Add '5x2' to each side of the equation.
-20 + 20x + -5x2 + 5x2 = 40 + -10x + -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-20 + 20x + 0 = 40 + -10x + -5x2 + 5x2
-20 + 20x = 40 + -10x + -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-20 + 20x = 40 + -10x + 0
-20 + 20x = 40 + -10x

Solving
-20 + 20x = 40 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-20 + 20x + 10x = 40 + -10x + 10x

Combine like terms: 20x + 10x = 30x
-20 + 30x = 40 + -10x + 10x

Combine like terms: -10x + 10x = 0
-20 + 30x = 40 + 0
-20 + 30x = 40

Add '20' to each side of the equation.
-20 + 20 + 30x = 40 + 20

Combine like terms: -20 + 20 = 0
0 + 30x = 40 + 20
30x = 40 + 20

Combine like terms: 40 + 20 = 60
30x = 60

Divide each side by '30'.
x = 2

Simplifying
x = 2

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