(2x-9)(6x+7)=

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Solution for (2x-9)(6x+7)= equation:


Simplifying
(2x + -9)(6x + 7) = 0

Reorder the terms:
(-9 + 2x)(6x + 7) = 0

Reorder the terms:
(-9 + 2x)(7 + 6x) = 0

Multiply (-9 + 2x) * (7 + 6x)
(-9(7 + 6x) + 2x * (7 + 6x)) = 0
((7 * -9 + 6x * -9) + 2x * (7 + 6x)) = 0
((-63 + -54x) + 2x * (7 + 6x)) = 0
(-63 + -54x + (7 * 2x + 6x * 2x)) = 0
(-63 + -54x + (14x + 12x2)) = 0

Combine like terms: -54x + 14x = -40x
(-63 + -40x + 12x2) = 0

Solving
-63 + -40x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -6x)(9 + -2x) = 0

Subproblem 1

Set the factor '(-7 + -6x)' equal to zero and attempt to solve: Simplifying -7 + -6x = 0 Solving -7 + -6x = 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 + -6x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 0 + 7 -6x = 0 + 7 Combine like terms: 0 + 7 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667

Subproblem 2

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

Solution

x = {-1.166666667, 4.5}

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