(-9x+5)(-10x-6)=

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Solution for (-9x+5)(-10x-6)= equation: 


Simplifying
(-9x + 5)(-10x + -6) = 0

Reorder the terms:
(5 + -9x)(-10x + -6) = 0

Reorder the terms:
(5 + -9x)(-6 + -10x) = 0

Multiply (5 + -9x) * (-6 + -10x)
(5(-6 + -10x) + -9x * (-6 + -10x)) = 0
((-6 * 5 + -10x * 5) + -9x * (-6 + -10x)) = 0
((-30 + -50x) + -9x * (-6 + -10x)) = 0
(-30 + -50x + (-6 * -9x + -10x * -9x)) = 0
(-30 + -50x + (54x + 90x2)) = 0

Combine like terms: -50x + 54x = 4x
(-30 + 4x + 90x2) = 0

Solving
-30 + 4x + 90x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 2x + 45x2) = 0

Factor a trinomial.
2((-3 + -5x)(5 + -9x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

Subproblem 2
Set the factor '(5 + -9x)' equal to zero and attempt to solve:

Simplifying
5 + -9x = 0

Solving
5 + -9x = 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 + -9x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = 0 + -5
-9x = 0 + -5

Combine like terms: 0 + -5 = -5
-9x = -5

Divide each side by '-9'.
x = 0.5555555556

Simplifying
x = 0.5555555556
Solution
x = {-0.6, 0.5555555556}

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