28x^2=-8x

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Solution for 28x^2=-8x equation:


Simplifying
28x2 = -8x

Solving
28x2 = -8x

Solving for variable 'x'.

Reorder the terms:
8x + 28x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
8x + 28x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(2 + 7x) = 0

Ignore the factor 4.

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 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 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 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857

Solution

x = {0, -0.2857142857}

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