-5*7(x-4)(x-5)=-35(x-4)(x-5)

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Solution for -5*7(x-4)(x-5)=-35(x-4)(x-5) equation: 


Simplifying
-5 * 7(x + -4)(x + -5) = -35(x + -4)(x + -5)

Reorder the terms:
-5 * 7(-4 + x)(x + -5) = -35(x + -4)(x + -5)

Reorder the terms:
-5 * 7(-4 + x)(-5 + x) = -35(x + -4)(x + -5)

Multiply -5 * 7
-35(-4 + x)(-5 + x) = -35(x + -4)(x + -5)

Multiply (-4 + x) * (-5 + x)
-35(-4(-5 + x) + x(-5 + x)) = -35(x + -4)(x + -5)
-35((-5 * -4 + x * -4) + x(-5 + x)) = -35(x + -4)(x + -5)
-35((20 + -4x) + x(-5 + x)) = -35(x + -4)(x + -5)
-35(20 + -4x + (-5 * x + x * x)) = -35(x + -4)(x + -5)
-35(20 + -4x + (-5x + x2)) = -35(x + -4)(x + -5)

Combine like terms: -4x + -5x = -9x
-35(20 + -9x + x2) = -35(x + -4)(x + -5)
(20 * -35 + -9x * -35 + x2 * -35) = -35(x + -4)(x + -5)
(-700 + 315x + -35x2) = -35(x + -4)(x + -5)

Reorder the terms:
-700 + 315x + -35x2 = -35(-4 + x)(x + -5)

Reorder the terms:
-700 + 315x + -35x2 = -35(-4 + x)(-5 + x)

Multiply (-4 + x) * (-5 + x)
-700 + 315x + -35x2 = -35(-4(-5 + x) + x(-5 + x))
-700 + 315x + -35x2 = -35((-5 * -4 + x * -4) + x(-5 + x))
-700 + 315x + -35x2 = -35((20 + -4x) + x(-5 + x))
-700 + 315x + -35x2 = -35(20 + -4x + (-5 * x + x * x))
-700 + 315x + -35x2 = -35(20 + -4x + (-5x + x2))

Combine like terms: -4x + -5x = -9x
-700 + 315x + -35x2 = -35(20 + -9x + x2)
-700 + 315x + -35x2 = (20 * -35 + -9x * -35 + x2 * -35)
-700 + 315x + -35x2 = (-700 + 315x + -35x2)

Add '700' to each side of the equation.
-700 + 315x + 700 + -35x2 = -700 + 315x + 700 + -35x2

Reorder the terms:
-700 + 700 + 315x + -35x2 = -700 + 315x + 700 + -35x2

Combine like terms: -700 + 700 = 0
0 + 315x + -35x2 = -700 + 315x + 700 + -35x2
315x + -35x2 = -700 + 315x + 700 + -35x2

Reorder the terms:
315x + -35x2 = -700 + 700 + 315x + -35x2

Combine like terms: -700 + 700 = 0
315x + -35x2 = 0 + 315x + -35x2
315x + -35x2 = 315x + -35x2

Add '-315x' to each side of the equation.
315x + -315x + -35x2 = 315x + -315x + -35x2

Combine like terms: 315x + -315x = 0
0 + -35x2 = 315x + -315x + -35x2
-35x2 = 315x + -315x + -35x2

Combine like terms: 315x + -315x = 0
-35x2 = 0 + -35x2
-35x2 = -35x2

Add '35x2' to each side of the equation.
-35x2 + 35x2 = -35x2 + 35x2

Combine like terms: -35x2 + 35x2 = 0
0 = -35x2 + 35x2

Combine like terms: -35x2 + 35x2 = 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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