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Simplifying 3x2 + -100x + 832 = 0 Reorder the terms: 832 + -100x + 3x2 = 0 Solving 832 + -100x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (16 + -1x)(52 + -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 '(52 + -3x)' equal to zero and attempt to solve: Simplifying 52 + -3x = 0 Solving 52 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -3x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -3x = 0 + -52 -3x = 0 + -52 Combine like terms: 0 + -52 = -52 -3x = -52 Divide each side by '-3'. x = 17.33333333 Simplifying x = 17.33333333Solution
x = {16, 17.33333333}
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