(8x-9)(6x+5)=0

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Solution for (8x-9)(6x+5)=0 equation:


Simplifying
(8x + -9)(6x + 5) = 0

Reorder the terms:
(-9 + 8x)(6x + 5) = 0

Reorder the terms:
(-9 + 8x)(5 + 6x) = 0

Multiply (-9 + 8x) * (5 + 6x)
(-9(5 + 6x) + 8x * (5 + 6x)) = 0
((5 * -9 + 6x * -9) + 8x * (5 + 6x)) = 0
((-45 + -54x) + 8x * (5 + 6x)) = 0
(-45 + -54x + (5 * 8x + 6x * 8x)) = 0
(-45 + -54x + (40x + 48x2)) = 0

Combine like terms: -54x + 40x = -14x
(-45 + -14x + 48x2) = 0

Solving
-45 + -14x + 48x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -6x)(9 + -8x) = 0

Subproblem 1

Set the factor '(-5 + -6x)' equal to zero and attempt to solve: Simplifying -5 + -6x = 0 Solving -5 + -6x = 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 + -6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 0 + 5 -6x = 0 + 5 Combine like terms: 0 + 5 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333

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 = {-0.8333333333, 1.125}

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