63x^3+60x=99x

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Solution for 63x^3+60x=99x equation:


Simplifying
63x3 + 60x = 99x

Reorder the terms:
60x + 63x3 = 99x

Solving
60x + 63x3 = 99x

Solving for variable 'x'.

Reorder the terms:
60x + -99x + 63x3 = 99x + -99x

Combine like terms: 60x + -99x = -39x
-39x + 63x3 = 99x + -99x

Combine like terms: 99x + -99x = 0
-39x + 63x3 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-13 + 21x2) = 0

Ignore the factor 3.

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 '(-13 + 21x2)' equal to zero and attempt to solve: Simplifying -13 + 21x2 = 0 Solving -13 + 21x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 21x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 21x2 = 0 + 13 21x2 = 0 + 13 Combine like terms: 0 + 13 = 13 21x2 = 13 Divide each side by '21'. x2 = 0.619047619 Simplifying x2 = 0.619047619 Take the square root of each side: x = {-0.786795792, 0.786795792}

Solution

x = {0, -0.786795792, 0.786795792}

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