X^2-12x+35=(x-5)(x-0)

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Solution for X^2-12x+35=(x-5)(x-0) equation: 


Simplifying
X2 + -12x + 35 = (x + -5)(x + 0)

Reorder the terms:
35 + X2 + -12x = (x + -5)(x + 0)

Reorder the terms:
35 + X2 + -12x = (-5 + x)(x + 0)

Reorder the terms:
35 + X2 + -12x = (-5 + x)(0 + x)
Remove the zero:
35 + X2 + -12x = (-5 + x)(x)

Reorder the terms for easier multiplication:
35 + X2 + -12x = x(-5 + x)
35 + X2 + -12x = (-5 * x + x * x)
35 + X2 + -12x = (-5x + x2)

Solving
35 + X2 + -12x = -5x + x2

Solving for variable 'X'.

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

Add '-35' to each side of the equation.
35 + X2 + -35 + -12x = -5x + -35 + x2

Reorder the terms:
35 + -35 + X2 + -12x = -5x + -35 + x2

Combine like terms: 35 + -35 = 0
0 + X2 + -12x = -5x + -35 + x2
X2 + -12x = -5x + -35 + x2

Reorder the terms:
X2 + -12x = -35 + -5x + x2

Add '12x' to each side of the equation.
X2 + -12x + 12x = -35 + -5x + 12x + x2

Combine like terms: -12x + 12x = 0
X2 + 0 = -35 + -5x + 12x + x2
X2 = -35 + -5x + 12x + x2

Combine like terms: -5x + 12x = 7x
X2 = -35 + 7x + x2

Simplifying
X2 = -35 + 7x + x2

Reorder the terms:
35 + X2 + -7x + -1x2 = -35 + 7x + x2 + 35 + -7x + -1x2

Reorder the terms:
35 + X2 + -7x + -1x2 = -35 + 35 + 7x + -7x + x2 + -1x2

Combine like terms: -35 + 35 = 0
35 + X2 + -7x + -1x2 = 0 + 7x + -7x + x2 + -1x2
35 + X2 + -7x + -1x2 = 7x + -7x + x2 + -1x2

Combine like terms: 7x + -7x = 0
35 + X2 + -7x + -1x2 = 0 + x2 + -1x2
35 + X2 + -7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
35 + X2 + -7x + -1x2 = 0

The solution to this equation could not be determined.

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