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Simplifying -1(x) = 3x2 + -10 Reorder the terms: -1x = -10 + 3x2 Solving -1x = -10 + 3x2 Solving for variable 'x'. Reorder the terms: 10 + -1x + -3x2 = -10 + 3x2 + 10 + -3x2 Reorder the terms: 10 + -1x + -3x2 = -10 + 10 + 3x2 + -3x2 Combine like terms: -10 + 10 = 0 10 + -1x + -3x2 = 0 + 3x2 + -3x2 10 + -1x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 10 + -1x + -3x2 = 0 Factor a trinomial. (5 + -3x)(2 + x) = 0Subproblem 1
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 = 1.666666667Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {1.666666667, -2}
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