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Simplifying (x + 3)(x + 3) = x * x + ax + 9 Reorder the terms: (3 + x)(x + 3) = x * x + ax + 9 Reorder the terms: (3 + x)(3 + x) = x * x + ax + 9 Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x)) = x * x + ax + 9 ((3 * 3 + x * 3) + x(3 + x)) = x * x + ax + 9 ((9 + 3x) + x(3 + x)) = x * x + ax + 9 (9 + 3x + (3 * x + x * x)) = x * x + ax + 9 (9 + 3x + (3x + x2)) = x * x + ax + 9 Combine like terms: 3x + 3x = 6x (9 + 6x + x2) = x * x + ax + 9 Multiply x * x 9 + 6x + x2 = x2 + ax + 9 Reorder the terms: 9 + 6x + x2 = 9 + ax + x2 Add '-9' to each side of the equation. 9 + 6x + -9 + x2 = 9 + ax + -9 + x2 Reorder the terms: 9 + -9 + 6x + x2 = 9 + ax + -9 + x2 Combine like terms: 9 + -9 = 0 0 + 6x + x2 = 9 + ax + -9 + x2 6x + x2 = 9 + ax + -9 + x2 Reorder the terms: 6x + x2 = 9 + -9 + ax + x2 Combine like terms: 9 + -9 = 0 6x + x2 = 0 + ax + x2 6x + x2 = ax + x2 Add '-1x2' to each side of the equation. 6x + x2 + -1x2 = ax + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6x + 0 = ax + x2 + -1x2 6x = ax + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6x = ax + 0 6x = ax Solving 6x = ax Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1ax' to each side of the equation. -1ax + 6x = ax + -1ax Combine like terms: ax + -1ax = 0 -1ax + 6x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1a + 6) = 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 '(-1a + 6)' equal to zero and attempt to solve: Simplifying -1a + 6 = 0 Reorder the terms: 6 + -1a = 0 Solving 6 + -1a = 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 + -1a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1a = 0 + -6 -1a = 0 + -6 Combine like terms: 0 + -6 = -6 -1a = -6 Add 'a' to each side of the equation. -1a + a = -6 + a Combine like terms: -1a + a = 0 0 = -6 + a Simplifying 0 = -6 + a The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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