x^2q-q^3=

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Solution for x^2q-q^3= equation:


Simplifying
x2q + -1q3 = 0

Solving
qx2 + -1q3 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(x2 + -1q2) = 0

Factor a difference between two squares.
q((x + q)(x + -1q)) = 0

Subproblem 1

Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q = 0

Subproblem 2

Set the factor '(x + q)' equal to zero and attempt to solve: Simplifying x + q = 0 Reorder the terms: q + x = 0 Solving q + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-1x' to each side of the equation. q + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 q + 0 = 0 + -1x q = 0 + -1x Remove the zero: q = -1x Simplifying q = -1x

Subproblem 3

Set the factor '(x + -1q)' equal to zero and attempt to solve: Simplifying x + -1q = 0 Reorder the terms: -1q + x = 0 Solving -1q + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-1x' to each side of the equation. -1q + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -1q + 0 = 0 + -1x -1q = 0 + -1x Remove the zero: -1q = -1x Divide each side by '-1'. q = x Simplifying q = x

Solution

q = {0, -1x, x}

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