21x^2=-12x

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Solution for 21x^2=-12x equation:


Simplifying
21x2 = -12x

Solving
21x2 = -12x

Solving for variable 'x'.

Reorder the terms:
12x + 21x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
12x + 21x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(4 + 7x) = 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 '(4 + 7x)' equal to zero and attempt to solve: Simplifying 4 + 7x = 0 Solving 4 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 0 + -4 7x = 0 + -4 Combine like terms: 0 + -4 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714

Solution

x = {0, -0.5714285714}

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