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Simplifying 9x2 + -18x + -62 = -7 Reorder the terms: -62 + -18x + 9x2 = -7 Solving -62 + -18x + 9x2 = -7 Solving for variable 'x'. Reorder the terms: -62 + 7 + -18x + 9x2 = -7 + 7 Combine like terms: -62 + 7 = -55 -55 + -18x + 9x2 = -7 + 7 Combine like terms: -7 + 7 = 0 -55 + -18x + 9x2 = 0 Factor a trinomial. (-5 + -3x)(11 + -3x) = 0Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 2
Set the factor '(11 + -3x)' equal to zero and attempt to solve: Simplifying 11 + -3x = 0 Solving 11 + -3x = 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 + -3x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 0 + -11 -3x = 0 + -11 Combine like terms: 0 + -11 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667Solution
x = {-1.666666667, 3.666666667}
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