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