3(x-13)(x-17)=(3x-39)(x-17)

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Solution for 3(x-13)(x-17)=(3x-39)(x-17) equation: 


Simplifying
3(x + -13)(x + -17) = (3x + -39)(x + -17)

Reorder the terms:
3(-13 + x)(x + -17) = (3x + -39)(x + -17)

Reorder the terms:
3(-13 + x)(-17 + x) = (3x + -39)(x + -17)

Multiply (-13 + x) * (-17 + x)
3(-13(-17 + x) + x(-17 + x)) = (3x + -39)(x + -17)
3((-17 * -13 + x * -13) + x(-17 + x)) = (3x + -39)(x + -17)
3((221 + -13x) + x(-17 + x)) = (3x + -39)(x + -17)
3(221 + -13x + (-17 * x + x * x)) = (3x + -39)(x + -17)
3(221 + -13x + (-17x + x2)) = (3x + -39)(x + -17)

Combine like terms: -13x + -17x = -30x
3(221 + -30x + x2) = (3x + -39)(x + -17)
(221 * 3 + -30x * 3 + x2 * 3) = (3x + -39)(x + -17)
(663 + -90x + 3x2) = (3x + -39)(x + -17)

Reorder the terms:
663 + -90x + 3x2 = (-39 + 3x)(x + -17)

Reorder the terms:
663 + -90x + 3x2 = (-39 + 3x)(-17 + x)

Multiply (-39 + 3x) * (-17 + x)
663 + -90x + 3x2 = (-39(-17 + x) + 3x * (-17 + x))
663 + -90x + 3x2 = ((-17 * -39 + x * -39) + 3x * (-17 + x))
663 + -90x + 3x2 = ((663 + -39x) + 3x * (-17 + x))
663 + -90x + 3x2 = (663 + -39x + (-17 * 3x + x * 3x))
663 + -90x + 3x2 = (663 + -39x + (-51x + 3x2))

Combine like terms: -39x + -51x = -90x
663 + -90x + 3x2 = (663 + -90x + 3x2)

Add '-663' to each side of the equation.
663 + -90x + -663 + 3x2 = 663 + -90x + -663 + 3x2

Reorder the terms:
663 + -663 + -90x + 3x2 = 663 + -90x + -663 + 3x2

Combine like terms: 663 + -663 = 0
0 + -90x + 3x2 = 663 + -90x + -663 + 3x2
-90x + 3x2 = 663 + -90x + -663 + 3x2

Reorder the terms:
-90x + 3x2 = 663 + -663 + -90x + 3x2

Combine like terms: 663 + -663 = 0
-90x + 3x2 = 0 + -90x + 3x2
-90x + 3x2 = -90x + 3x2

Add '90x' to each side of the equation.
-90x + 90x + 3x2 = -90x + 90x + 3x2

Combine like terms: -90x + 90x = 0
0 + 3x2 = -90x + 90x + 3x2
3x2 = -90x + 90x + 3x2

Combine like terms: -90x + 90x = 0
3x2 = 0 + 3x2
3x2 = 3x2

Add '-3x2' to each side of the equation.
3x2 + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 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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