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

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


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

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

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

Multiply (9 + 2x) * (-9 + 8x)
(9(-9 + 8x) + 2x * (-9 + 8x)) = 0
((-9 * 9 + 8x * 9) + 2x * (-9 + 8x)) = 0
((-81 + 72x) + 2x * (-9 + 8x)) = 0
(-81 + 72x + (-9 * 2x + 8x * 2x)) = 0
(-81 + 72x + (-18x + 16x2)) = 0

Combine like terms: 72x + -18x = 54x
(-81 + 54x + 16x2) = 0

Solving
-81 + 54x + 16x2 = 0

Solving for variable 'x'.

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


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 + -8x)' equal to zero and attempt to solve:

Simplifying
9 + -8x = 0

Solving
9 + -8x = 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 + -8x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = 0 + -9
-8x = 0 + -9

Combine like terms: 0 + -9 = -9
-8x = -9

Divide each side by '-8'.
x = 1.125

Simplifying
x = 1.125
Solution
x = {-4.5, 1.125}

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