x(8x+4)(x-1)=0

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Solution for x(8x+4)(x-1)=0 equation:


Simplifying
x(8x + 4)(x + -1) = 0

Reorder the terms:
x(4 + 8x)(x + -1) = 0

Reorder the terms:
x(4 + 8x)(-1 + x) = 0

Multiply (4 + 8x) * (-1 + x)
x(4(-1 + x) + 8x * (-1 + x)) = 0
x((-1 * 4 + x * 4) + 8x * (-1 + x)) = 0
x((-4 + 4x) + 8x * (-1 + x)) = 0
x(-4 + 4x + (-1 * 8x + x * 8x)) = 0
x(-4 + 4x + (-8x + 8x2)) = 0

Combine like terms: 4x + -8x = -4x
x(-4 + -4x + 8x2) = 0
(-4 * x + -4x * x + 8x2 * x) = 0
(-4x + -4x2 + 8x3) = 0

Solving
-4x + -4x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-1 + -1x + 2x2) = 0

Factor a trinomial.
4x((-1 + -2x)(1 + -1x)) = 0

Ignore the factor 4.

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 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0, -0.5, 1}

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