5(3x-2)(2x)=960

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Solution for 5(3x-2)(2x)=960 equation: 


Simplifying
5(3x + -2)(2x) = 960

Reorder the terms:
5(-2 + 3x)(2x) = 960

Remove parenthesis around (2x)
5(-2 + 3x) * 2x = 960

Reorder the terms for easier multiplication:
5 * 2x(-2 + 3x) = 960

Multiply 5 * 2
10x(-2 + 3x) = 960
(-2 * 10x + 3x * 10x) = 960
(-20x + 30x2) = 960

Solving
-20x + 30x2 = 960

Solving for variable 'x'.

Reorder the terms:
-960 + -20x + 30x2 = 960 + -960

Combine like terms: 960 + -960 = 0
-960 + -20x + 30x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-96 + -2x + 3x2) = 0

Factor a trinomial.
10((-16 + -3x)(6 + -1x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-16 + -3x)' equal to zero and attempt to solve:

Simplifying
-16 + -3x = 0

Solving
-16 + -3x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -3x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -3x = 0 + 16
-3x = 0 + 16

Combine like terms: 0 + 16 = 16
-3x = 16

Divide each side by '-3'.
x = -5.333333333

Simplifying
x = -5.333333333

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-5.333333333, 6}

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