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

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}