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Simplifying x2 + -16 + (x + 4)(x + 1) = 0 Reorder the terms: x2 + -16 + (4 + x)(x + 1) = 0 Reorder the terms: x2 + -16 + (4 + x)(1 + x) = 0 Multiply (4 + x) * (1 + x) x2 + -16 + (4(1 + x) + x(1 + x)) = 0 x2 + -16 + ((1 * 4 + x * 4) + x(1 + x)) = 0 x2 + -16 + ((4 + 4x) + x(1 + x)) = 0 x2 + -16 + (4 + 4x + (1 * x + x * x)) = 0 x2 + -16 + (4 + 4x + (1x + x2)) = 0 Combine like terms: 4x + 1x = 5x x2 + -16 + (4 + 5x + x2) = 0 Reorder the terms: -16 + 4 + 5x + x2 + x2 = 0 Combine like terms: -16 + 4 = -12 -12 + 5x + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 -12 + 5x + 2x2 = 0 Solving -12 + 5x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(3 + -2x) = 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 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-4, 1.5}
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