(-15x)(2x-1)(2x+1)=0

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Solution for (-15x)(2x-1)(2x+1)=0 equation: 


Simplifying
(-15x)(2x + -1)(2x + 1) = 0

Remove parenthesis around (-15x)
-15x(2x + -1)(2x + 1) = 0

Reorder the terms:
-15x(-1 + 2x)(2x + 1) = 0

Reorder the terms:
-15x(-1 + 2x)(1 + 2x) = 0

Multiply (-1 + 2x) * (1 + 2x)
-15x(-1(1 + 2x) + 2x * (1 + 2x)) = 0
-15x((1 * -1 + 2x * -1) + 2x * (1 + 2x)) = 0
-15x((-1 + -2x) + 2x * (1 + 2x)) = 0
-15x(-1 + -2x + (1 * 2x + 2x * 2x)) = 0
-15x(-1 + -2x + (2x + 4x2)) = 0

Combine like terms: -2x + 2x = 0
-15x(-1 + 0 + 4x2) = 0
-15x(-1 + 4x2) = 0
(-1 * -15x + 4x2 * -15x) = 0
(15x + -60x3) = 0

Solving
15x + -60x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15x'.
15x(1 + -4x2) = 0

Factor a difference between two squares.
15x((1 + 2x)(1 + -2x)) = 0

Ignore the factor 15.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
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 '(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
Solution
x = {0, -0.5, 0.5}

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