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

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Solution for 8(x-9)(2x+9)=0 equation: 


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

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

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

Multiply (-9 + x) * (9 + 2x)
8(-9(9 + 2x) + x(9 + 2x)) = 0
8((9 * -9 + 2x * -9) + x(9 + 2x)) = 0
8((-81 + -18x) + x(9 + 2x)) = 0
8(-81 + -18x + (9 * x + 2x * x)) = 0
8(-81 + -18x + (9x + 2x2)) = 0

Combine like terms: -18x + 9x = -9x
8(-81 + -9x + 2x2) = 0
(-81 * 8 + -9x * 8 + 2x2 * 8) = 0
(-648 + -72x + 16x2) = 0

Solving
-648 + -72x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-81 + -9x + 2x2) = 0

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

Ignore the factor 8.

Subproblem 1
Set the factor '(-9 + -2x)' equal to zero and attempt to solve:

Simplifying
-9 + -2x = 0

Solving
-9 + -2x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 0 + 9
-2x = 0 + 9

Combine like terms: 0 + 9 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-4.5, 9}

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