18x^2=-3x

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Solution for 18x^2=-3x equation:


Simplifying
18x2 = -3x

Solving
18x2 = -3x

Solving for variable 'x'.

Reorder the terms:
3x + 18x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
3x + 18x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(1 + 6x) = 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 '(1 + 6x)' equal to zero and attempt to solve: Simplifying 1 + 6x = 0 Solving 1 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 0 + -1 6x = 0 + -1 Combine like terms: 0 + -1 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667

Solution

x = {0, -0.1666666667}

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