(5x+8)(-8x+9)=0

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


Simplifying
(5x + 8)(-8x + 9) = 0

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

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

Multiply (8 + 5x) * (9 + -8x)
(8(9 + -8x) + 5x * (9 + -8x)) = 0
((9 * 8 + -8x * 8) + 5x * (9 + -8x)) = 0
((72 + -64x) + 5x * (9 + -8x)) = 0
(72 + -64x + (9 * 5x + -8x * 5x)) = 0
(72 + -64x + (45x + -40x2)) = 0

Combine like terms: -64x + 45x = -19x
(72 + -19x + -40x2) = 0

Solving
72 + -19x + -40x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + -8x)(8 + 5x) = 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 + 5x)' equal to zero and attempt to solve:

Simplifying
8 + 5x = 0

Solving
8 + 5x = 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 + 5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 0 + -8
5x = 0 + -8

Combine like terms: 0 + -8 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6
Solution
x = {1.125, -1.6}

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