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