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Simplifying 0 = 3x2 + -29x + 18 Reorder the terms: 0 = 18 + -29x + 3x2 Solving 0 = 18 + -29x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -18 = -18 -18 + 29x + -3x2 = 18 + -29x + 3x2 + -18 + 29x + -3x2 Reorder the terms: -18 + 29x + -3x2 = 18 + -18 + -29x + 29x + 3x2 + -3x2 Combine like terms: 18 + -18 = 0 -18 + 29x + -3x2 = 0 + -29x + 29x + 3x2 + -3x2 -18 + 29x + -3x2 = -29x + 29x + 3x2 + -3x2 Combine like terms: -29x + 29x = 0 -18 + 29x + -3x2 = 0 + 3x2 + -3x2 -18 + 29x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -18 + 29x + -3x2 = 0 Factor a trinomial. (-9 + x)(2 + -3x) = 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 '(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 = 0.6666666667Solution
x = {9, 0.6666666667}
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