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Simplifying x2 + (x + 3)(x + 3) = (2x + -3)(2x + -3) Reorder the terms: x2 + (3 + x)(x + 3) = (2x + -3)(2x + -3) Reorder the terms: x2 + (3 + x)(3 + x) = (2x + -3)(2x + -3) Multiply (3 + x) * (3 + x) x2 + (3(3 + x) + x(3 + x)) = (2x + -3)(2x + -3) x2 + ((3 * 3 + x * 3) + x(3 + x)) = (2x + -3)(2x + -3) x2 + ((9 + 3x) + x(3 + x)) = (2x + -3)(2x + -3) x2 + (9 + 3x + (3 * x + x * x)) = (2x + -3)(2x + -3) x2 + (9 + 3x + (3x + x2)) = (2x + -3)(2x + -3) Combine like terms: 3x + 3x = 6x x2 + (9 + 6x + x2) = (2x + -3)(2x + -3) Reorder the terms: 9 + 6x + x2 + x2 = (2x + -3)(2x + -3) Combine like terms: x2 + x2 = 2x2 9 + 6x + 2x2 = (2x + -3)(2x + -3) Reorder the terms: 9 + 6x + 2x2 = (-3 + 2x)(2x + -3) Reorder the terms: 9 + 6x + 2x2 = (-3 + 2x)(-3 + 2x) Multiply (-3 + 2x) * (-3 + 2x) 9 + 6x + 2x2 = (-3(-3 + 2x) + 2x * (-3 + 2x)) 9 + 6x + 2x2 = ((-3 * -3 + 2x * -3) + 2x * (-3 + 2x)) 9 + 6x + 2x2 = ((9 + -6x) + 2x * (-3 + 2x)) 9 + 6x + 2x2 = (9 + -6x + (-3 * 2x + 2x * 2x)) 9 + 6x + 2x2 = (9 + -6x + (-6x + 4x2)) Combine like terms: -6x + -6x = -12x 9 + 6x + 2x2 = (9 + -12x + 4x2) Add '-9' to each side of the equation. 9 + 6x + -9 + 2x2 = 9 + -12x + -9 + 4x2 Reorder the terms: 9 + -9 + 6x + 2x2 = 9 + -12x + -9 + 4x2 Combine like terms: 9 + -9 = 0 0 + 6x + 2x2 = 9 + -12x + -9 + 4x2 6x + 2x2 = 9 + -12x + -9 + 4x2 Reorder the terms: 6x + 2x2 = 9 + -9 + -12x + 4x2 Combine like terms: 9 + -9 = 0 6x + 2x2 = 0 + -12x + 4x2 6x + 2x2 = -12x + 4x2 Solving 6x + 2x2 = -12x + 4x2 Solving for variable 'x'. Reorder the terms: 6x + 12x + 2x2 + -4x2 = -12x + 4x2 + 12x + -4x2 Combine like terms: 6x + 12x = 18x 18x + 2x2 + -4x2 = -12x + 4x2 + 12x + -4x2 Combine like terms: 2x2 + -4x2 = -2x2 18x + -2x2 = -12x + 4x2 + 12x + -4x2 Reorder the terms: 18x + -2x2 = -12x + 12x + 4x2 + -4x2 Combine like terms: -12x + 12x = 0 18x + -2x2 = 0 + 4x2 + -4x2 18x + -2x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 18x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(9 + -1x) = 0 Ignore the factor 2.Subproblem 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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {0, 9}
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