9x^2-68x-32=0

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Solution for 9x^2-68x-32=0 equation:


Simplifying
9x2 + -68x + -32 = 0

Reorder the terms:
-32 + -68x + 9x2 = 0

Solving
-32 + -68x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -9x)(8 + -1x) = 0

Subproblem 1

Set the factor '(-4 + -9x)' equal to zero and attempt to solve: Simplifying -4 + -9x = 0 Solving -4 + -9x = 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 + -9x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = 0 + 4 -9x = 0 + 4 Combine like terms: 0 + 4 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {-0.4444444444, 8}

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