(2x-5)2(x-5)=(2x-5)(x-5)2

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


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

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

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

Reorder the terms for easier multiplication:
2(-5 + 2x)(-5 + x) = (2x + -5)(x + -5) * 2

Multiply (-5 + 2x) * (-5 + x)
2(-5(-5 + x) + 2x * (-5 + x)) = (2x + -5)(x + -5) * 2
2((-5 * -5 + x * -5) + 2x * (-5 + x)) = (2x + -5)(x + -5) * 2
2((25 + -5x) + 2x * (-5 + x)) = (2x + -5)(x + -5) * 2
2(25 + -5x + (-5 * 2x + x * 2x)) = (2x + -5)(x + -5) * 2
2(25 + -5x + (-10x + 2x2)) = (2x + -5)(x + -5) * 2

Combine like terms: -5x + -10x = -15x
2(25 + -15x + 2x2) = (2x + -5)(x + -5) * 2
(25 * 2 + -15x * 2 + 2x2 * 2) = (2x + -5)(x + -5) * 2
(50 + -30x + 4x2) = (2x + -5)(x + -5) * 2

Reorder the terms:
50 + -30x + 4x2 = (-5 + 2x)(x + -5) * 2

Reorder the terms:
50 + -30x + 4x2 = (-5 + 2x)(-5 + x) * 2

Reorder the terms for easier multiplication:
50 + -30x + 4x2 = 2(-5 + 2x)(-5 + x)

Multiply (-5 + 2x) * (-5 + x)
50 + -30x + 4x2 = 2(-5(-5 + x) + 2x * (-5 + x))
50 + -30x + 4x2 = 2((-5 * -5 + x * -5) + 2x * (-5 + x))
50 + -30x + 4x2 = 2((25 + -5x) + 2x * (-5 + x))
50 + -30x + 4x2 = 2(25 + -5x + (-5 * 2x + x * 2x))
50 + -30x + 4x2 = 2(25 + -5x + (-10x + 2x2))

Combine like terms: -5x + -10x = -15x
50 + -30x + 4x2 = 2(25 + -15x + 2x2)
50 + -30x + 4x2 = (25 * 2 + -15x * 2 + 2x2 * 2)
50 + -30x + 4x2 = (50 + -30x + 4x2)

Add '-50' to each side of the equation.
50 + -30x + -50 + 4x2 = 50 + -30x + -50 + 4x2

Reorder the terms:
50 + -50 + -30x + 4x2 = 50 + -30x + -50 + 4x2

Combine like terms: 50 + -50 = 0
0 + -30x + 4x2 = 50 + -30x + -50 + 4x2
-30x + 4x2 = 50 + -30x + -50 + 4x2

Reorder the terms:
-30x + 4x2 = 50 + -50 + -30x + 4x2

Combine like terms: 50 + -50 = 0
-30x + 4x2 = 0 + -30x + 4x2
-30x + 4x2 = -30x + 4x2

Add '30x' to each side of the equation.
-30x + 30x + 4x2 = -30x + 30x + 4x2

Combine like terms: -30x + 30x = 0
0 + 4x2 = -30x + 30x + 4x2
4x2 = -30x + 30x + 4x2

Combine like terms: -30x + 30x = 0
4x2 = 0 + 4x2
4x2 = 4x2

Add '-4x2' to each side of the equation.
4x2 + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
0 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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