16x^2+180x=0

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Solution for 16x^2+180x=0 equation:


Simplifying
16x2 + 180x = 0

Reorder the terms:
180x + 16x2 = 0

Solving
180x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(45 + 4x) = 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 '(45 + 4x)' equal to zero and attempt to solve: Simplifying 45 + 4x = 0 Solving 45 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 4x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = 0 + -45 4x = 0 + -45 Combine like terms: 0 + -45 = -45 4x = -45 Divide each side by '4'. x = -11.25 Simplifying x = -11.25

Solution

x = {0, -11.25}

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