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

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


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

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

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

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

Combine like terms: 81x + -16x = 65x
(-72 + 65x + 18x2) = 0

Solving
-72 + 65x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -2x)(8 + -9x) = 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 '(8 + -9x)' equal to zero and attempt to solve: Simplifying 8 + -9x = 0 Solving 8 + -9x = 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 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889

Solution

x = {-4.5, 0.8888888889}

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