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Simplifying 9x2 + 30x = 816 Reorder the terms: 30x + 9x2 = 816 Solving 30x + 9x2 = 816 Solving for variable 'x'. Reorder the terms: -816 + 30x + 9x2 = 816 + -816 Combine like terms: 816 + -816 = 0 -816 + 30x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-272 + 10x + 3x2) = 0 Factor a trinomial. 3((-34 + -3x)(8 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-34 + -3x)' equal to zero and attempt to solve: Simplifying -34 + -3x = 0 Solving -34 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -3x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -3x = 0 + 34 -3x = 0 + 34 Combine like terms: 0 + 34 = 34 -3x = 34 Divide each side by '-3'. x = -11.33333333 Simplifying x = -11.33333333Subproblem 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 = 8Solution
x = {-11.33333333, 8}
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