9x^2+7x-22=0

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Solution for 9x^2+7x-22=0 equation:


Simplifying
9x2 + 7x + -22 = 0

Reorder the terms:
-22 + 7x + 9x2 = 0

Solving
-22 + 7x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(11 + -9x) = 0

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(11 + -9x)' equal to zero and attempt to solve: Simplifying 11 + -9x = 0 Solving 11 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -9x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -9x = 0 + -11 -9x = 0 + -11 Combine like terms: 0 + -11 = -11 -9x = -11 Divide each side by '-9'. x = 1.222222222 Simplifying x = 1.222222222

Solution

x = {-2, 1.222222222}

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