77x^2+19x-36=0

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Solution for 77x^2+19x-36=0 equation:


Simplifying
77x2 + 19x + -36 = 0

Reorder the terms:
-36 + 19x + 77x2 = 0

Solving
-36 + 19x + 77x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -11x)(4 + -7x) = 0

Subproblem 1

Set the factor '(-9 + -11x)' equal to zero and attempt to solve: Simplifying -9 + -11x = 0 Solving -9 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -11x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -11x = 0 + 9 -11x = 0 + 9 Combine like terms: 0 + 9 = 9 -11x = 9 Divide each side by '-11'. x = -0.8181818182 Simplifying x = -0.8181818182

Subproblem 2

Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714

Solution

x = {-0.8181818182, 0.5714285714}

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