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

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


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

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

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

Combine like terms: 7x + 9x = 16x
(7 + 8x)(6 + 16x) = 0

Multiply (7 + 8x) * (6 + 16x)
(7(6 + 16x) + 8x * (6 + 16x)) = 0
((6 * 7 + 16x * 7) + 8x * (6 + 16x)) = 0
((42 + 112x) + 8x * (6 + 16x)) = 0
(42 + 112x + (6 * 8x + 16x * 8x)) = 0
(42 + 112x + (48x + 128x2)) = 0

Combine like terms: 112x + 48x = 160x
(42 + 160x + 128x2) = 0

Solving
42 + 160x + 128x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(21 + 80x + 64x2) = 0

Factor a trinomial.
2((7 + 8x)(3 + 8x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(7 + 8x)' equal to zero and attempt to solve: Simplifying 7 + 8x = 0 Solving 7 + 8x = 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 + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 0 + -7 8x = 0 + -7 Combine like terms: 0 + -7 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875

Subproblem 2

Set the factor '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375

Solution

x = {-0.875, -0.375}

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