36x^2+144x+95=0

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Solution for 36x^2+144x+95=0 equation:


Simplifying
36x2 + 144x + 95 = 0

Reorder the terms:
95 + 144x + 36x2 = 0

Solving
95 + 144x + 36x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(19 + 6x)(5 + 6x) = 0

Subproblem 1

Set the factor '(19 + 6x)' equal to zero and attempt to solve: Simplifying 19 + 6x = 0 Solving 19 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 6x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 6x = 0 + -19 6x = 0 + -19 Combine like terms: 0 + -19 = -19 6x = -19 Divide each side by '6'. x = -3.166666667 Simplifying x = -3.166666667

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 = {-3.166666667, -0.8333333333}

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