2x^3+4x^2=6x

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Solution for 2x^3+4x^2=6x equation:


Simplifying
2x3 + 4x2 = 6x

Reorder the terms:
4x2 + 2x3 = 6x

Solving
4x2 + 2x3 = 6x

Solving for variable 'x'.

Reorder the terms:
-6x + 4x2 + 2x3 = 6x + -6x

Combine like terms: 6x + -6x = 0
-6x + 4x2 + 2x3 = 0

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

Factor a trinomial.
2x((-3 + -1x)(1 + -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 '(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, -3, 1}

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