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