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Simplifying 0 = 3x2 + -16x + -35 Reorder the terms: 0 = -35 + -16x + 3x2 Solving 0 = -35 + -16x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 35 = 35 35 + 16x + -3x2 = -35 + -16x + 3x2 + 35 + 16x + -3x2 Reorder the terms: 35 + 16x + -3x2 = -35 + 35 + -16x + 16x + 3x2 + -3x2 Combine like terms: -35 + 35 = 0 35 + 16x + -3x2 = 0 + -16x + 16x + 3x2 + -3x2 35 + 16x + -3x2 = -16x + 16x + 3x2 + -3x2 Combine like terms: -16x + 16x = 0 35 + 16x + -3x2 = 0 + 3x2 + -3x2 35 + 16x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 35 + 16x + -3x2 = 0 Factor a trinomial. (7 + -1x)(5 + 3x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Solution
x = {7, -1.666666667}
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