9x^2-18x-88=3

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Solution for 9x^2-18x-88=3 equation:


Simplifying
9x2 + -18x + -88 = 3

Reorder the terms:
-88 + -18x + 9x2 = 3

Solving
-88 + -18x + 9x2 = 3

Solving for variable 'x'.

Reorder the terms:
-88 + -3 + -18x + 9x2 = 3 + -3

Combine like terms: -88 + -3 = -91
-91 + -18x + 9x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-91 + -18x + 9x2 = 0

Factor a trinomial.
(-7 + -3x)(13 + -3x) = 0

Subproblem 1

Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333

Subproblem 2

Set the factor '(13 + -3x)' equal to zero and attempt to solve: Simplifying 13 + -3x = 0 Solving 13 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 0 + -13 -3x = 0 + -13 Combine like terms: 0 + -13 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333

Solution

x = {-2.333333333, 4.333333333}

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