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Simplifying (x + 4)(x + 4) = 9 Reorder the terms: (4 + x)(x + 4) = 9 Reorder the terms: (4 + x)(4 + x) = 9 Multiply (4 + x) * (4 + x) (4(4 + x) + x(4 + x)) = 9 ((4 * 4 + x * 4) + x(4 + x)) = 9 ((16 + 4x) + x(4 + x)) = 9 (16 + 4x + (4 * x + x * x)) = 9 (16 + 4x + (4x + x2)) = 9 Combine like terms: 4x + 4x = 8x (16 + 8x + x2) = 9 Solving 16 + 8x + x2 = 9 Solving for variable 'x'. Reorder the terms: 16 + -9 + 8x + x2 = 9 + -9 Combine like terms: 16 + -9 = 7 7 + 8x + x2 = 9 + -9 Combine like terms: 9 + -9 = 0 7 + 8x + x2 = 0 Factor a trinomial. (7 + x)(1 + x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-7, -1}
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