9(x*x)-8=-34x

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Solution for 9(x*x)-8=-34x equation:


Simplifying
9(x * x) + -8 = -34x

Multiply x * x
9(x2) + -8 = -34x

Reorder the terms:
-8 + 9x2 = -34x

Solving
-8 + 9x2 = -34x

Solving for variable 'x'.

Reorder the terms:
-8 + 34x + 9x2 = -34x + 34x

Combine like terms: -34x + 34x = 0
-8 + 34x + 9x2 = 0

Factor a trinomial.
(-4 + -1x)(2 + -9x) = 0

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(2 + -9x)' equal to zero and attempt to solve: Simplifying 2 + -9x = 0 Solving 2 + -9x = 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 + -9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 0 + -2 -9x = 0 + -2 Combine like terms: 0 + -2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222

Solution

x = {-4, 0.2222222222}

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