60x^2(2x^2-3x-2)=0

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Solution for 60x^2(2x^2-3x-2)=0 equation: 


Simplifying
60x2(2x2 + -3x + -2) = 0

Reorder the terms:
60x2(-2 + -3x + 2x2) = 0
(-2 * 60x2 + -3x * 60x2 + 2x2 * 60x2) = 0
(-120x2 + -180x3 + 120x4) = 0

Solving
-120x2 + -180x3 + 120x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '60x2'.
60x2(-2 + -3x + 2x2) = 0

Factor a trinomial.
60x2((-1 + -2x)(2 + -1x)) = 0

Ignore the factor 60.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
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 3
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
Solution
x = {0, -0.5, 2}

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