x^3=100x+10x+x

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Solution for x^3=100x+10x+x equation:


Simplifying
x3 = 100x + 10x + x

Combine like terms: 100x + 10x = 110x
x3 = 110x + x

Combine like terms: 110x + x = 111x
x3 = 111x

Solving
x3 = 111x

Solving for variable 'x'.

Reorder the terms:
-111x + x3 = 111x + -111x

Combine like terms: 111x + -111x = 0
-111x + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-111 + x2) = 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 '(-111 + x2)' equal to zero and attempt to solve: Simplifying -111 + x2 = 0 Solving -111 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '111' to each side of the equation. -111 + 111 + x2 = 0 + 111 Combine like terms: -111 + 111 = 0 0 + x2 = 0 + 111 x2 = 0 + 111 Combine like terms: 0 + 111 = 111 x2 = 111 Simplifying x2 = 111 Take the square root of each side: x = {-10.535653753, 10.535653753}

Solution

x = {0, -10.535653753, 10.535653753}

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