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Simplifying 3x2 + -5x = 372 Reorder the terms: -5x + 3x2 = 372 Solving -5x + 3x2 = 372 Solving for variable 'x'. Reorder the terms: -372 + -5x + 3x2 = 372 + -372 Combine like terms: 372 + -372 = 0 -372 + -5x + 3x2 = 0 Factor a trinomial. (-31 + -3x)(12 + -1x) = 0Subproblem 1
Set the factor '(-31 + -3x)' equal to zero and attempt to solve: Simplifying -31 + -3x = 0 Solving -31 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -3x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -3x = 0 + 31 -3x = 0 + 31 Combine like terms: 0 + 31 = 31 -3x = 31 Divide each side by '-3'. x = -10.33333333 Simplifying x = -10.33333333Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-10.33333333, 12}
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