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

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


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

Reorder the terms:
(-8 + 2x)(5x + -9) = 0

Reorder the terms:
(-8 + 2x)(-9 + 5x) = 0

Multiply (-8 + 2x) * (-9 + 5x)
(-8(-9 + 5x) + 2x * (-9 + 5x)) = 0
((-9 * -8 + 5x * -8) + 2x * (-9 + 5x)) = 0
((72 + -40x) + 2x * (-9 + 5x)) = 0
(72 + -40x + (-9 * 2x + 5x * 2x)) = 0
(72 + -40x + (-18x + 10x2)) = 0

Combine like terms: -40x + -18x = -58x
(72 + -58x + 10x2) = 0

Solving
72 + -58x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(36 + -29x + 5x2) = 0

Factor a trinomial.
2((9 + -5x)(4 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(9 + -5x)' equal to zero and attempt to solve:

Simplifying
9 + -5x = 0

Solving
9 + -5x = 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 + -5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 0 + -9
-5x = 0 + -9

Combine like terms: 0 + -9 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {1.8, 4}

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