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Simplifying 0 = 2x2 + -15x + 18 Reorder the terms: 0 = 18 + -15x + 2x2 Solving 0 = 18 + -15x + 2x2 Solving for variable 'x'. Combine like terms: 0 + -18 = -18 -18 + 15x + -2x2 = 18 + -15x + 2x2 + -18 + 15x + -2x2 Reorder the terms: -18 + 15x + -2x2 = 18 + -18 + -15x + 15x + 2x2 + -2x2 Combine like terms: 18 + -18 = 0 -18 + 15x + -2x2 = 0 + -15x + 15x + 2x2 + -2x2 -18 + 15x + -2x2 = -15x + 15x + 2x2 + -2x2 Combine like terms: -15x + 15x = 0 -18 + 15x + -2x2 = 0 + 2x2 + -2x2 -18 + 15x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -18 + 15x + -2x2 = 0 Factor a trinomial. (-6 + x)(3 + -2x) = 0Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {6, 1.5}
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