10x^3+14x^2=12x

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Solution for 10x^3+14x^2=12x equation:


Simplifying
10x3 + 14x2 = 12x

Reorder the terms:
14x2 + 10x3 = 12x

Solving
14x2 + 10x3 = 12x

Solving for variable 'x'.

Reorder the terms:
-12x + 14x2 + 10x3 = 12x + -12x

Combine like terms: 12x + -12x = 0
-12x + 14x2 + 10x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-6 + 7x + 5x2) = 0

Factor a trinomial.
2x((-2 + -1x)(3 + -5x)) = 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 '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

Subproblem 3

Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6

Solution

x = {0, -2, 0.6}

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