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

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


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

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

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

Multiply (-5 + 2x) * (-9 + 5x)
(-5(-9 + 5x) + 2x * (-9 + 5x)) = 0
((-9 * -5 + 5x * -5) + 2x * (-9 + 5x)) = 0
((45 + -25x) + 2x * (-9 + 5x)) = 0
(45 + -25x + (-9 * 2x + 5x * 2x)) = 0
(45 + -25x + (-18x + 10x2)) = 0

Combine like terms: -25x + -18x = -43x
(45 + -43x + 10x2) = 0

Solving
45 + -43x + 10x2 = 0

Solving for variable 'x'.

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


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 '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {1.8, 2.5}

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