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Simplifying (x + 4)(x + 4) = 121 Reorder the terms: (4 + x)(x + 4) = 121 Reorder the terms: (4 + x)(4 + x) = 121 Multiply (4 + x) * (4 + x) (4(4 + x) + x(4 + x)) = 121 ((4 * 4 + x * 4) + x(4 + x)) = 121 ((16 + 4x) + x(4 + x)) = 121 (16 + 4x + (4 * x + x * x)) = 121 (16 + 4x + (4x + x2)) = 121 Combine like terms: 4x + 4x = 8x (16 + 8x + x2) = 121 Solving 16 + 8x + x2 = 121 Solving for variable 'x'. Reorder the terms: 16 + -121 + 8x + x2 = 121 + -121 Combine like terms: 16 + -121 = -105 -105 + 8x + x2 = 121 + -121 Combine like terms: 121 + -121 = 0 -105 + 8x + x2 = 0 Factor a trinomial. (-15 + -1x)(7 + -1x) = 0Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-15, 7}
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