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Simplifying (b + -3)(b + -3) = 9 Reorder the terms: (-3 + b)(b + -3) = 9 Reorder the terms: (-3 + b)(-3 + b) = 9 Multiply (-3 + b) * (-3 + b) (-3(-3 + b) + b(-3 + b)) = 9 ((-3 * -3 + b * -3) + b(-3 + b)) = 9 ((9 + -3b) + b(-3 + b)) = 9 (9 + -3b + (-3 * b + b * b)) = 9 (9 + -3b + (-3b + b2)) = 9 Combine like terms: -3b + -3b = -6b (9 + -6b + b2) = 9 Add '-9' to each side of the equation. 9 + -6b + -9 + b2 = 9 + -9 Reorder the terms: 9 + -9 + -6b + b2 = 9 + -9 Combine like terms: 9 + -9 = 0 0 + -6b + b2 = 9 + -9 -6b + b2 = 9 + -9 Combine like terms: 9 + -9 = 0 -6b + b2 = 0 Solving -6b + b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(-6 + b) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(-6 + b)' equal to zero and attempt to solve: Simplifying -6 + b = 0 Solving -6 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + b = 0 + 6 b = 0 + 6 Combine like terms: 0 + 6 = 6 b = 6 Simplifying b = 6Solution
b = {0, 6}
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