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Simplifying (12 + -5b)(12 + -5b) = 0 Multiply (12 + -5b) * (12 + -5b) (12(12 + -5b) + -5b * (12 + -5b)) = 0 ((12 * 12 + -5b * 12) + -5b * (12 + -5b)) = 0 ((144 + -60b) + -5b * (12 + -5b)) = 0 (144 + -60b + (12 * -5b + -5b * -5b)) = 0 (144 + -60b + (-60b + 25b2)) = 0 Combine like terms: -60b + -60b = -120b (144 + -120b + 25b2) = 0 Solving 144 + -120b + 25b2 = 0 Solving for variable 'b'. Factor a trinomial. (12 + -5b)(12 + -5b) = 0Subproblem 1
Set the factor '(12 + -5b)' equal to zero and attempt to solve: Simplifying 12 + -5b = 0 Solving 12 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5b = 0 + -12 -5b = 0 + -12 Combine like terms: 0 + -12 = -12 -5b = -12 Divide each side by '-5'. b = 2.4 Simplifying b = 2.4Subproblem 2
Set the factor '(12 + -5b)' equal to zero and attempt to solve: Simplifying 12 + -5b = 0 Solving 12 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5b = 0 + -12 -5b = 0 + -12 Combine like terms: 0 + -12 = -12 -5b = -12 Divide each side by '-5'. b = 2.4 Simplifying b = 2.4Solution
b = {2.4, 2.4}
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