(-18x+10)(8x+9)=

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Solution for (-18x+10)(8x+9)= equation:


Simplifying
(-18x + 10)(8x + 9) = 0

Reorder the terms:
(10 + -18x)(8x + 9) = 0

Reorder the terms:
(10 + -18x)(9 + 8x) = 0

Multiply (10 + -18x) * (9 + 8x)
(10(9 + 8x) + -18x * (9 + 8x)) = 0
((9 * 10 + 8x * 10) + -18x * (9 + 8x)) = 0
((90 + 80x) + -18x * (9 + 8x)) = 0
(90 + 80x + (9 * -18x + 8x * -18x)) = 0
(90 + 80x + (-162x + -144x2)) = 0

Combine like terms: 80x + -162x = -82x
(90 + -82x + -144x2) = 0

Solving
90 + -82x + -144x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(45 + -41x + -72x2) = 0

Factor a trinomial.
2((5 + -9x)(9 + 8x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556

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 = {0.5555555556, -1.125}

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