(4x-9)(2x-5)=

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Solution for (4x-9)(2x-5)= equation: 


Simplifying
(4x + -9)(2x + -5) = 0

Reorder the terms:
(-9 + 4x)(2x + -5) = 0

Reorder the terms:
(-9 + 4x)(-5 + 2x) = 0

Multiply (-9 + 4x) * (-5 + 2x)
(-9(-5 + 2x) + 4x * (-5 + 2x)) = 0
((-5 * -9 + 2x * -9) + 4x * (-5 + 2x)) = 0
((45 + -18x) + 4x * (-5 + 2x)) = 0
(45 + -18x + (-5 * 4x + 2x * 4x)) = 0
(45 + -18x + (-20x + 8x2)) = 0

Combine like terms: -18x + -20x = -38x
(45 + -38x + 8x2) = 0

Solving
45 + -38x + 8x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 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 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25

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 = {2.25, 2.5}

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