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Simplifying 3x2 + x + -15 = -5 Reorder the terms: -15 + x + 3x2 = -5 Solving -15 + x + 3x2 = -5 Solving for variable 'x'. Reorder the terms: -15 + 5 + x + 3x2 = -5 + 5 Combine like terms: -15 + 5 = -10 -10 + x + 3x2 = -5 + 5 Combine like terms: -5 + 5 = 0 -10 + x + 3x2 = 0 Factor a trinomial. (-2 + -1x)(5 + -3x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 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 = {-2, 1.666666667}
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