72x^2+120x=-50

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Solution for 72x^2+120x=-50 equation:


Simplifying
72x2 + 120x = -50

Reorder the terms:
120x + 72x2 = -50

Solving
120x + 72x2 = -50

Solving for variable 'x'.

Reorder the terms:
50 + 120x + 72x2 = -50 + 50

Combine like terms: -50 + 50 = 0
50 + 120x + 72x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + 60x + 36x2) = 0

Factor a trinomial.
2((5 + 6x)(5 + 6x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333

Subproblem 2

Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333

Solution

x = {-0.8333333333, -0.8333333333}

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