6(5x-9)(x+2)=

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Solution for 6(5x-9)(x+2)= equation: 


Simplifying
6(5x + -9)(x + 2) = 0

Reorder the terms:
6(-9 + 5x)(x + 2) = 0

Reorder the terms:
6(-9 + 5x)(2 + x) = 0

Multiply (-9 + 5x) * (2 + x)
6(-9(2 + x) + 5x * (2 + x)) = 0
6((2 * -9 + x * -9) + 5x * (2 + x)) = 0
6((-18 + -9x) + 5x * (2 + x)) = 0
6(-18 + -9x + (2 * 5x + x * 5x)) = 0
6(-18 + -9x + (10x + 5x2)) = 0

Combine like terms: -9x + 10x = 1x
6(-18 + 1x + 5x2) = 0
(-18 * 6 + 1x * 6 + 5x2 * 6) = 0
(-108 + 6x + 30x2) = 0

Solving
-108 + 6x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-18 + x + 5x2) = 0

Factor a trinomial.
6((-2 + -1x)(9 + -5x)) = 0

Ignore the factor 6.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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 = {-2, 1.8}

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