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Simplifying 3x2 + 14x + -5 = 12 Reorder the terms: -5 + 14x + 3x2 = 12 Solving -5 + 14x + 3x2 = 12 Solving for variable 'x'. Reorder the terms: -5 + -12 + 14x + 3x2 = 12 + -12 Combine like terms: -5 + -12 = -17 -17 + 14x + 3x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -17 + 14x + 3x2 = 0 Factor a trinomial. (-17 + -3x)(1 + -1x) = 0Subproblem 1
Set the factor '(-17 + -3x)' equal to zero and attempt to solve: Simplifying -17 + -3x = 0 Solving -17 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -3x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = 0 + 17 -3x = 0 + 17 Combine like terms: 0 + 17 = 17 -3x = 17 Divide each side by '-3'. x = -5.666666667 Simplifying x = -5.666666667Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-5.666666667, 1}
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