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Simplifying (2x + 5) + -1(x2 + 3x + -1) = 0 Reorder the terms: (5 + 2x) + -1(x2 + 3x + -1) = 0 Remove parenthesis around (5 + 2x) 5 + 2x + -1(x2 + 3x + -1) = 0 Reorder the terms: 5 + 2x + -1(-1 + 3x + x2) = 0 5 + 2x + (-1 * -1 + 3x * -1 + x2 * -1) = 0 5 + 2x + (1 + -3x + -1x2) = 0 Reorder the terms: 5 + 1 + 2x + -3x + -1x2 = 0 Combine like terms: 5 + 1 = 6 6 + 2x + -3x + -1x2 = 0 Combine like terms: 2x + -3x = -1x 6 + -1x + -1x2 = 0 Solving 6 + -1x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(3 + x) = 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {2, -3}
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