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Simplifying (x2 + 3x + -4) + -1(x + -5) = 0 Reorder the terms: (-4 + 3x + x2) + -1(x + -5) = 0 Remove parenthesis around (-4 + 3x + x2) -4 + 3x + x2 + -1(x + -5) = 0 Reorder the terms: -4 + 3x + x2 + -1(-5 + x) = 0 -4 + 3x + x2 + (-5 * -1 + x * -1) = 0 -4 + 3x + x2 + (5 + -1x) = 0 Reorder the terms: -4 + 5 + 3x + -1x + x2 = 0 Combine like terms: -4 + 5 = 1 1 + 3x + -1x + x2 = 0 Combine like terms: 3x + -1x = 2x 1 + 2x + x2 = 0 Solving 1 + 2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + x)(1 + x) = 0Subproblem 1
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 = -1Subproblem 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, -1}
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