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Simplifying 3x2 + -1x + -784 = 0 Reorder the terms: -784 + -1x + 3x2 = 0 Solving -784 + -1x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-16 + -1x)(49 + -3x) = 0Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve: Simplifying -16 + -1x = 0 Solving -16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 0 + 16 -1x = 0 + 16 Combine like terms: 0 + 16 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16Subproblem 2
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 = 16.33333333Solution
x = {-16, 16.33333333}
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