2x^3-8x^2=42x

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Solution for 2x^3-8x^2=42x equation: 


Simplifying
2x3 + -8x2 = 42x

Reorder the terms:
-8x2 + 2x3 = 42x

Solving
-8x2 + 2x3 = 42x

Solving for variable 'x'.

Reorder the terms:
-42x + -8x2 + 2x3 = 42x + -42x

Combine like terms: 42x + -42x = 0
-42x + -8x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-21 + -4x + x2) = 0

Factor a trinomial.
2x((-3 + -1x)(7 + -1x)) = 0

Ignore the factor 2.

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 '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 3
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {0, -3, 7}

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