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Simplifying (x + 4)(x + 4) = 36 Reorder the terms: (4 + x)(x + 4) = 36 Reorder the terms: (4 + x)(4 + x) = 36 Multiply (4 + x) * (4 + x) (4(4 + x) + x(4 + x)) = 36 ((4 * 4 + x * 4) + x(4 + x)) = 36 ((16 + 4x) + x(4 + x)) = 36 (16 + 4x + (4 * x + x * x)) = 36 (16 + 4x + (4x + x2)) = 36 Combine like terms: 4x + 4x = 8x (16 + 8x + x2) = 36 Solving 16 + 8x + x2 = 36 Solving for variable 'x'. Reorder the terms: 16 + -36 + 8x + x2 = 36 + -36 Combine like terms: 16 + -36 = -20 -20 + 8x + x2 = 36 + -36 Combine like terms: 36 + -36 = 0 -20 + 8x + x2 = 0 Factor a trinomial. (-10 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-10, 2}
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