54x^2+84x=0

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Solution for 54x^2+84x=0 equation:


Simplifying
54x2 + 84x = 0

Reorder the terms:
84x + 54x2 = 0

Solving
84x + 54x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(14 + 9x) = 0

Ignore the factor 6.

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 '(14 + 9x)' equal to zero and attempt to solve: Simplifying 14 + 9x = 0 Solving 14 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 9x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = 0 + -14 9x = 0 + -14 Combine like terms: 0 + -14 = -14 9x = -14 Divide each side by '9'. x = -1.555555556 Simplifying x = -1.555555556

Solution

x = {0, -1.555555556}

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