(5x-6)(5x+9)=

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Solution for (5x-6)(5x+9)= equation: 


Simplifying
(5x + -6)(5x + 9) = 0

Reorder the terms:
(-6 + 5x)(5x + 9) = 0

Reorder the terms:
(-6 + 5x)(9 + 5x) = 0

Multiply (-6 + 5x) * (9 + 5x)
(-6(9 + 5x) + 5x * (9 + 5x)) = 0
((9 * -6 + 5x * -6) + 5x * (9 + 5x)) = 0
((-54 + -30x) + 5x * (9 + 5x)) = 0
(-54 + -30x + (9 * 5x + 5x * 5x)) = 0
(-54 + -30x + (45x + 25x2)) = 0

Combine like terms: -30x + 45x = 15x
(-54 + 15x + 25x2) = 0

Solving
-54 + 15x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -5x)(6 + -5x) = 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 '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-1.8, 1.2}

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