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Simplifying 2x2 = 15x + -27 Reorder the terms: 2x2 = -27 + 15x Solving 2x2 = -27 + 15x Solving for variable 'x'. Reorder the terms: 27 + -15x + 2x2 = -27 + 15x + 27 + -15x Reorder the terms: 27 + -15x + 2x2 = -27 + 27 + 15x + -15x Combine like terms: -27 + 27 = 0 27 + -15x + 2x2 = 0 + 15x + -15x 27 + -15x + 2x2 = 15x + -15x Combine like terms: 15x + -15x = 0 27 + -15x + 2x2 = 0 Factor a trinomial. (3 + -1x)(9 + -2x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 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 = {3, 4.5}
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