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Simplifying (x + 4)(x + 4) + -16(x + 4) + 63 = 0 Reorder the terms: (4 + x)(x + 4) + -16(x + 4) + 63 = 0 Reorder the terms: (4 + x)(4 + x) + -16(x + 4) + 63 = 0 Multiply (4 + x) * (4 + x) (4(4 + x) + x(4 + x)) + -16(x + 4) + 63 = 0 ((4 * 4 + x * 4) + x(4 + x)) + -16(x + 4) + 63 = 0 ((16 + 4x) + x(4 + x)) + -16(x + 4) + 63 = 0 (16 + 4x + (4 * x + x * x)) + -16(x + 4) + 63 = 0 (16 + 4x + (4x + x2)) + -16(x + 4) + 63 = 0 Combine like terms: 4x + 4x = 8x (16 + 8x + x2) + -16(x + 4) + 63 = 0 Reorder the terms: 16 + 8x + x2 + -16(4 + x) + 63 = 0 16 + 8x + x2 + (4 * -16 + x * -16) + 63 = 0 16 + 8x + x2 + (-64 + -16x) + 63 = 0 Reorder the terms: 16 + -64 + 63 + 8x + -16x + x2 = 0 Combine like terms: 16 + -64 = -48 -48 + 63 + 8x + -16x + x2 = 0 Combine like terms: -48 + 63 = 15 15 + 8x + -16x + x2 = 0 Combine like terms: 8x + -16x = -8x 15 + -8x + x2 = 0 Solving 15 + -8x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(5 + -1x) = 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {3, 5}
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