=9(x-2)(x-8)

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Solution for =9(x-2)(x-8) equation:


Simplifying
0 = 9(x + -2)(x + -8)

Reorder the terms:
0 = 9(-2 + x)(x + -8)

Reorder the terms:
0 = 9(-2 + x)(-8 + x)

Multiply (-2 + x) * (-8 + x)
0 = 9(-2(-8 + x) + x(-8 + x))
0 = 9((-8 * -2 + x * -2) + x(-8 + x))
0 = 9((16 + -2x) + x(-8 + x))
0 = 9(16 + -2x + (-8 * x + x * x))
0 = 9(16 + -2x + (-8x + x2))

Combine like terms: -2x + -8x = -10x
0 = 9(16 + -10x + x2)
0 = (16 * 9 + -10x * 9 + x2 * 9)
0 = (144 + -90x + 9x2)

Solving
0 = 144 + -90x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + -144 = -144
-144 + 90x + -9x2 = 144 + -90x + 9x2 + -144 + 90x + -9x2

Reorder the terms:
-144 + 90x + -9x2 = 144 + -144 + -90x + 90x + 9x2 + -9x2

Combine like terms: 144 + -144 = 0
-144 + 90x + -9x2 = 0 + -90x + 90x + 9x2 + -9x2
-144 + 90x + -9x2 = -90x + 90x + 9x2 + -9x2

Combine like terms: -90x + 90x = 0
-144 + 90x + -9x2 = 0 + 9x2 + -9x2
-144 + 90x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-144 + 90x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-16 + 10x + -1x2) = 0

Factor a trinomial.
9((-8 + x)(2 + -1x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

Solving
-8 + x = 0

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

Add '8' to each side of the equation.
-8 + 8 + x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x = 0 + 8
x = 0 + 8

Combine like terms: 0 + 8 = 8
x = 8

Simplifying
x = 8

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {8, 2}

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