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Simplifying 0 = (x + -3)(x + 4) Reorder the terms: 0 = (-3 + x)(x + 4) Reorder the terms: 0 = (-3 + x)(4 + x) Multiply (-3 + x) * (4 + x) 0 = (-3(4 + x) + x(4 + x)) 0 = ((4 * -3 + x * -3) + x(4 + x)) 0 = ((-12 + -3x) + x(4 + x)) 0 = (-12 + -3x + (4 * x + x * x)) 0 = (-12 + -3x + (4x + x2)) Combine like terms: -3x + 4x = 1x 0 = (-12 + 1x + x2) Solving 0 = -12 + 1x + x2 Solving for variable 'x'. Combine like terms: 0 + 12 = 12 12 + -1x + -1x2 = -12 + 1x + x2 + 12 + -1x + -1x2 Reorder the terms: 12 + -1x + -1x2 = -12 + 12 + 1x + -1x + x2 + -1x2 Combine like terms: -12 + 12 = 0 12 + -1x + -1x2 = 0 + 1x + -1x + x2 + -1x2 12 + -1x + -1x2 = 1x + -1x + x2 + -1x2 Combine like terms: 1x + -1x = 0 12 + -1x + -1x2 = 0 + x2 + -1x2 12 + -1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 12 + -1x + -1x2 = 0 Factor a trinomial. (3 + -1x)(4 + x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {3, -4}
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