3x^3+x^2=10x

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


Simplifying
3x3 + x2 = 10x

Reorder the terms:
x2 + 3x3 = 10x

Solving
x2 + 3x3 = 10x

Solving for variable 'x'.

Reorder the terms:
-10x + x2 + 3x3 = 10x + -10x

Combine like terms: 10x + -10x = 0
-10x + x2 + 3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + x + 3x2) = 0

Factor a trinomial.
x((-2 + -1x)(5 + -3x)) = 0

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 '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Solution

x = {0, -2, 1.666666667}

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