2X^3-8X^2-42X^3=0

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Solution for 2X^3-8X^2-42X^3=0 equation: 


Simplifying
2X3 + -8X2 + -42X3 = 0

Reorder the terms:
-8X2 + 2X3 + -42X3 = 0

Combine like terms: 2X3 + -42X3 = -40X3
-8X2 + -40X3 = 0

Solving
-8X2 + -40X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '-8X2'.
-8X2(1 + 5X) = 0

Ignore the factor -8.

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 + 5X)' equal to zero and attempt to solve:

Simplifying
1 + 5X = 0

Solving
1 + 5X = 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 + 5X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5X = 0 + -1
5X = 0 + -1

Combine like terms: 0 + -1 = -1
5X = -1

Divide each side by '5'.
X = -0.2

Simplifying
X = -0.2
Solution
X = {0, -0.2}

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