-8(6x-3)(5x+9)=0

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Solution for -8(6x-3)(5x+9)=0 equation: 


Simplifying
-8(6x + -3)(5x + 9) = 0

Reorder the terms:
-8(-3 + 6x)(5x + 9) = 0

Reorder the terms:
-8(-3 + 6x)(9 + 5x) = 0

Multiply (-3 + 6x) * (9 + 5x)
-8(-3(9 + 5x) + 6x * (9 + 5x)) = 0
-8((9 * -3 + 5x * -3) + 6x * (9 + 5x)) = 0
-8((-27 + -15x) + 6x * (9 + 5x)) = 0
-8(-27 + -15x + (9 * 6x + 5x * 6x)) = 0
-8(-27 + -15x + (54x + 30x2)) = 0

Combine like terms: -15x + 54x = 39x
-8(-27 + 39x + 30x2) = 0
(-27 * -8 + 39x * -8 + 30x2 * -8) = 0
(216 + -312x + -240x2) = 0

Solving
216 + -312x + -240x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24'.
24(9 + -13x + -10x2) = 0

Factor a trinomial.
24((1 + -2x)(9 + 5x)) = 0

Ignore the factor 24.

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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 = {0.5, -1.8}

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