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

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


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

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

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

Multiply (4 + 2x) * (-9 + 5x)
(4(-9 + 5x) + 2x * (-9 + 5x)) = 0
((-9 * 4 + 5x * 4) + 2x * (-9 + 5x)) = 0
((-36 + 20x) + 2x * (-9 + 5x)) = 0
(-36 + 20x + (-9 * 2x + 5x * 2x)) = 0
(-36 + 20x + (-18x + 10x2)) = 0

Combine like terms: 20x + -18x = 2x
(-36 + 2x + 10x2) = 0

Solving
-36 + 2x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + x + 5x2) = 0

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

Ignore the factor 2.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
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
Solution
x = {-2, 1.8}

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