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Simplifying 9x2 + 29x + -38 = 0 Reorder the terms: -38 + 29x + 9x2 = 0 Solving -38 + 29x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-38 + -9x)(1 + -1x) = 0Subproblem 1
Set the factor '(-38 + -9x)' equal to zero and attempt to solve: Simplifying -38 + -9x = 0 Solving -38 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -9x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -9x = 0 + 38 -9x = 0 + 38 Combine like terms: 0 + 38 = 38 -9x = 38 Divide each side by '-9'. x = -4.222222222 Simplifying x = -4.222222222Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-4.222222222, 1}
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