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Simplifying -1(x + -4)(x + 3) = 0 Reorder the terms: -1(-4 + x)(x + 3) = 0 Reorder the terms: -1(-4 + x)(3 + x) = 0 Multiply (-4 + x) * (3 + x) -1(-4(3 + x) + x(3 + x)) = 0 -1((3 * -4 + x * -4) + x(3 + x)) = 0 -1((-12 + -4x) + x(3 + x)) = 0 -1(-12 + -4x + (3 * x + x * x)) = 0 -1(-12 + -4x + (3x + x2)) = 0 Combine like terms: -4x + 3x = -1x -1(-12 + -1x + x2) = 0 (-12 * -1 + -1x * -1 + x2 * -1) = 0 (12 + 1x + -1x2) = 0 Solving 12 + 1x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(3 + x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 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 = {4, -3}
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