x^2-11x+18=(x-2)(x-9)

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Solution for x^2-11x+18=(x-2)(x-9) equation: 


Simplifying
x2 + -11x + 18 = (x + -2)(x + -9)

Reorder the terms:
18 + -11x + x2 = (x + -2)(x + -9)

Reorder the terms:
18 + -11x + x2 = (-2 + x)(x + -9)

Reorder the terms:
18 + -11x + x2 = (-2 + x)(-9 + x)

Multiply (-2 + x) * (-9 + x)
18 + -11x + x2 = (-2(-9 + x) + x(-9 + x))
18 + -11x + x2 = ((-9 * -2 + x * -2) + x(-9 + x))
18 + -11x + x2 = ((18 + -2x) + x(-9 + x))
18 + -11x + x2 = (18 + -2x + (-9 * x + x * x))
18 + -11x + x2 = (18 + -2x + (-9x + x2))

Combine like terms: -2x + -9x = -11x
18 + -11x + x2 = (18 + -11x + x2)

Add '-18' to each side of the equation.
18 + -11x + -18 + x2 = 18 + -11x + -18 + x2

Reorder the terms:
18 + -18 + -11x + x2 = 18 + -11x + -18 + x2

Combine like terms: 18 + -18 = 0
0 + -11x + x2 = 18 + -11x + -18 + x2
-11x + x2 = 18 + -11x + -18 + x2

Reorder the terms:
-11x + x2 = 18 + -18 + -11x + x2

Combine like terms: 18 + -18 = 0
-11x + x2 = 0 + -11x + x2
-11x + x2 = -11x + x2

Add '11x' to each side of the equation.
-11x + 11x + x2 = -11x + 11x + x2

Combine like terms: -11x + 11x = 0
0 + x2 = -11x + 11x + x2
x2 = -11x + 11x + x2

Combine like terms: -11x + 11x = 0
x2 = 0 + x2
x2 = x2

Add '-1x2' to each side of the equation.
x2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = x2 + -1x2

Combine like terms: x2 + -1x2 = 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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