(6x-5)(9x+7)=

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Solution for (6x-5)(9x+7)= equation:


Simplifying
(6x + -5)(9x + 7) = 0

Reorder the terms:
(-5 + 6x)(9x + 7) = 0

Reorder the terms:
(-5 + 6x)(7 + 9x) = 0

Multiply (-5 + 6x) * (7 + 9x)
(-5(7 + 9x) + 6x * (7 + 9x)) = 0
((7 * -5 + 9x * -5) + 6x * (7 + 9x)) = 0
((-35 + -45x) + 6x * (7 + 9x)) = 0
(-35 + -45x + (7 * 6x + 9x * 6x)) = 0
(-35 + -45x + (42x + 54x2)) = 0

Combine like terms: -45x + 42x = -3x
(-35 + -3x + 54x2) = 0

Solving
-35 + -3x + 54x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -9x)(5 + -6x) = 0

Subproblem 1

Set the factor '(-7 + -9x)' equal to zero and attempt to solve: Simplifying -7 + -9x = 0 Solving -7 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 0 + 7 -9x = 0 + 7 Combine like terms: 0 + 7 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778

Subproblem 2

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

Solution

x = {-0.7777777778, 0.8333333333}

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