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Simplifying 3x2 + 37x + -196 = 0 Reorder the terms: -196 + 37x + 3x2 = 0 Solving -196 + 37x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-49 + -3x)(4 + -1x) = 0Subproblem 1
Set the factor '(-49 + -3x)' equal to zero and attempt to solve: Simplifying -49 + -3x = 0 Solving -49 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -3x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -3x = 0 + 49 -3x = 0 + 49 Combine like terms: 0 + 49 = 49 -3x = 49 Divide each side by '-3'. x = -16.33333333 Simplifying x = -16.33333333Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-16.33333333, 4}
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