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Simplifying (x + 3)(x + 3) + -25 = 0 Reorder the terms: (3 + x)(x + 3) + -25 = 0 Reorder the terms: (3 + x)(3 + x) + -25 = 0 Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x)) + -25 = 0 ((3 * 3 + x * 3) + x(3 + x)) + -25 = 0 ((9 + 3x) + x(3 + x)) + -25 = 0 (9 + 3x + (3 * x + x * x)) + -25 = 0 (9 + 3x + (3x + x2)) + -25 = 0 Combine like terms: 3x + 3x = 6x (9 + 6x + x2) + -25 = 0 Reorder the terms: 9 + -25 + 6x + x2 = 0 Combine like terms: 9 + -25 = -16 -16 + 6x + x2 = 0 Solving -16 + 6x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 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 = {-8, 2}
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