(8x+7)(-9x+5)-24x-21=0

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Solution for (8x+7)(-9x+5)-24x-21=0 equation: 


Simplifying
(8x + 7)(-9x + 5) + -24x + -21 = 0

Reorder the terms:
(7 + 8x)(-9x + 5) + -24x + -21 = 0

Reorder the terms:
(7 + 8x)(5 + -9x) + -24x + -21 = 0

Multiply (7 + 8x) * (5 + -9x)
(7(5 + -9x) + 8x * (5 + -9x)) + -24x + -21 = 0
((5 * 7 + -9x * 7) + 8x * (5 + -9x)) + -24x + -21 = 0
((35 + -63x) + 8x * (5 + -9x)) + -24x + -21 = 0
(35 + -63x + (5 * 8x + -9x * 8x)) + -24x + -21 = 0
(35 + -63x + (40x + -72x2)) + -24x + -21 = 0

Combine like terms: -63x + 40x = -23x
(35 + -23x + -72x2) + -24x + -21 = 0

Reorder the terms:
35 + -21 + -23x + -24x + -72x2 = 0

Combine like terms: 35 + -21 = 14
14 + -23x + -24x + -72x2 = 0

Combine like terms: -23x + -24x = -47x
14 + -47x + -72x2 = 0

Solving
14 + -47x + -72x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -9x)(7 + 8x) = 0


Subproblem 1
Set the factor '(2 + -9x)' equal to zero and attempt to solve:

Simplifying
2 + -9x = 0

Solving
2 + -9x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 0 + -2
-9x = 0 + -2

Combine like terms: 0 + -2 = -2
-9x = -2

Divide each side by '-9'.
x = 0.2222222222

Simplifying
x = 0.2222222222

Subproblem 2
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
Solution
x = {0.2222222222, -0.875}

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