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Simplifying 0 = 10x2 + -29x + 18 Reorder the terms: 0 = 18 + -29x + 10x2 Solving 0 = 18 + -29x + 10x2 Solving for variable 'x'. Combine like terms: 0 + -18 = -18 -18 + 29x + -10x2 = 18 + -29x + 10x2 + -18 + 29x + -10x2 Reorder the terms: -18 + 29x + -10x2 = 18 + -18 + -29x + 29x + 10x2 + -10x2 Combine like terms: 18 + -18 = 0 -18 + 29x + -10x2 = 0 + -29x + 29x + 10x2 + -10x2 -18 + 29x + -10x2 = -29x + 29x + 10x2 + -10x2 Combine like terms: -29x + 29x = 0 -18 + 29x + -10x2 = 0 + 10x2 + -10x2 -18 + 29x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -18 + 29x + -10x2 = 0 Factor a trinomial. (-2 + x)(9 + -10x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(9 + -10x)' equal to zero and attempt to solve: Simplifying 9 + -10x = 0 Solving 9 + -10x = 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 + -10x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10x = 0 + -9 -10x = 0 + -9 Combine like terms: 0 + -9 = -9 -10x = -9 Divide each side by '-10'. x = 0.9 Simplifying x = 0.9Solution
x = {2, 0.9}
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