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Simplifying 2x2 + 27x + 93 = 12 Reorder the terms: 93 + 27x + 2x2 = 12 Solving 93 + 27x + 2x2 = 12 Solving for variable 'x'. Reorder the terms: 93 + -12 + 27x + 2x2 = 12 + -12 Combine like terms: 93 + -12 = 81 81 + 27x + 2x2 = 12 + -12 Combine like terms: 12 + -12 = 0 81 + 27x + 2x2 = 0 Factor a trinomial. (9 + x)(9 + 2x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Solution
x = {-9, -4.5}
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