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

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


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

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

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

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

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

Solving
-45 + 20x + 25x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 5.

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 '(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
Solution
x = {-1.8, 1}

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