5x(2x-9)-8(2x-9)=

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Solution for 5x(2x-9)-8(2x-9)= equation: 


Simplifying
5x(2x + -9) + -8(2x + -9) = 0

Reorder the terms:
5x(-9 + 2x) + -8(2x + -9) = 0
(-9 * 5x + 2x * 5x) + -8(2x + -9) = 0
(-45x + 10x2) + -8(2x + -9) = 0

Reorder the terms:
-45x + 10x2 + -8(-9 + 2x) = 0
-45x + 10x2 + (-9 * -8 + 2x * -8) = 0
-45x + 10x2 + (72 + -16x) = 0

Reorder the terms:
72 + -45x + -16x + 10x2 = 0

Combine like terms: -45x + -16x = -61x
72 + -61x + 10x2 = 0

Solving
72 + -61x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + -5x)(9 + -2x) = 0


Subproblem 1
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

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

Simplifying
9 + -2x = 0

Solving
9 + -2x = 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 + -2x = 0 + -9

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

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

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {1.6, 4.5}

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