(9x+7)(6x+8)=

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Solution for (9x+7)(6x+8)= equation:


Simplifying
(9x + 7)(6x + 8) = 0

Reorder the terms:
(7 + 9x)(6x + 8) = 0

Reorder the terms:
(7 + 9x)(8 + 6x) = 0

Multiply (7 + 9x) * (8 + 6x)
(7(8 + 6x) + 9x * (8 + 6x)) = 0
((8 * 7 + 6x * 7) + 9x * (8 + 6x)) = 0
((56 + 42x) + 9x * (8 + 6x)) = 0
(56 + 42x + (8 * 9x + 6x * 9x)) = 0
(56 + 42x + (72x + 54x2)) = 0

Combine like terms: 42x + 72x = 114x
(56 + 114x + 54x2) = 0

Solving
56 + 114x + 54x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(28 + 57x + 27x2) = 0

Factor a trinomial.
2((4 + 3x)(7 + 9x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333

Subproblem 2

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

Solution

x = {-1.333333333, -0.7777777778}

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