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Simplifying 2x2 + 3x + -377 = 0 Reorder the terms: -377 + 3x + 2x2 = 0 Solving -377 + 3x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-29 + -2x)(13 + -1x) = 0Subproblem 1
Set the factor '(-29 + -2x)' equal to zero and attempt to solve: Simplifying -29 + -2x = 0 Solving -29 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -2x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -2x = 0 + 29 -2x = 0 + 29 Combine like terms: 0 + 29 = 29 -2x = 29 Divide each side by '-2'. x = -14.5 Simplifying x = -14.5Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {-14.5, 13}
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