(9x+8)(8x+9)=0

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Solution for (9x+8)(8x+9)=0 equation: 


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

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

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

Multiply (8 + 9x) * (9 + 8x)
(8(9 + 8x) + 9x * (9 + 8x)) = 0
((9 * 8 + 8x * 8) + 9x * (9 + 8x)) = 0
((72 + 64x) + 9x * (9 + 8x)) = 0
(72 + 64x + (9 * 9x + 8x * 9x)) = 0
(72 + 64x + (81x + 72x2)) = 0

Combine like terms: 64x + 81x = 145x
(72 + 145x + 72x2) = 0

Solving
72 + 145x + 72x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(9 + 8x)' equal to zero and attempt to solve:

Simplifying
9 + 8x = 0

Solving
9 + 8x = 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 + 8x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = 0 + -9
8x = 0 + -9

Combine like terms: 0 + -9 = -9
8x = -9

Divide each side by '8'.
x = -1.125

Simplifying
x = -1.125

Subproblem 2
Set the factor '(8 + 9x)' equal to zero and attempt to solve:

Simplifying
8 + 9x = 0

Solving
8 + 9x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 9x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 9x = 0 + -8
9x = 0 + -8

Combine like terms: 0 + -8 = -8
9x = -8

Divide each side by '9'.
x = -0.8888888889

Simplifying
x = -0.8888888889
Solution
x = {-1.125, -0.8888888889}

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