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

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


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

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

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

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

Combine like terms: 20x + -45x = -25x
(-45 + -25x + 20x2) = 0

Solving
-45 + -25x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-9 + -5x + 4x2) = 0

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

Ignore the factor 5.

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

Subproblem 2
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
Solution
x = {-1, 2.25}

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