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Simplifying (x + 8)(x + 8) + -225 = 0 Reorder the terms: (8 + x)(x + 8) + -225 = 0 Reorder the terms: (8 + x)(8 + x) + -225 = 0 Multiply (8 + x) * (8 + x) (8(8 + x) + x(8 + x)) + -225 = 0 ((8 * 8 + x * 8) + x(8 + x)) + -225 = 0 ((64 + 8x) + x(8 + x)) + -225 = 0 (64 + 8x + (8 * x + x * x)) + -225 = 0 (64 + 8x + (8x + x2)) + -225 = 0 Combine like terms: 8x + 8x = 16x (64 + 16x + x2) + -225 = 0 Reorder the terms: 64 + -225 + 16x + x2 = 0 Combine like terms: 64 + -225 = -161 -161 + 16x + x2 = 0 Solving -161 + 16x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-23 + -1x)(7 + -1x) = 0Subproblem 1
Set the factor '(-23 + -1x)' equal to zero and attempt to solve: Simplifying -23 + -1x = 0 Solving -23 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -1x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -1x = 0 + 23 -1x = 0 + 23 Combine like terms: 0 + 23 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23Subproblem 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 = {-23, 7}
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