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Simplifying 0 = 6x2 + 23x + -18 Reorder the terms: 0 = -18 + 23x + 6x2 Solving 0 = -18 + 23x + 6x2 Solving for variable 'x'. Combine like terms: 0 + 18 = 18 18 + -23x + -6x2 = -18 + 23x + 6x2 + 18 + -23x + -6x2 Reorder the terms: 18 + -23x + -6x2 = -18 + 18 + 23x + -23x + 6x2 + -6x2 Combine like terms: -18 + 18 = 0 18 + -23x + -6x2 = 0 + 23x + -23x + 6x2 + -6x2 18 + -23x + -6x2 = 23x + -23x + 6x2 + -6x2 Combine like terms: 23x + -23x = 0 18 + -23x + -6x2 = 0 + 6x2 + -6x2 18 + -23x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 18 + -23x + -6x2 = 0 Factor a trinomial. (2 + -3x)(9 + 2x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 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 = {0.6666666667, -4.5}
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