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Simplifying (3 + -5b)(3 + -5b) = 0 Multiply (3 + -5b) * (3 + -5b) (3(3 + -5b) + -5b * (3 + -5b)) = 0 ((3 * 3 + -5b * 3) + -5b * (3 + -5b)) = 0 ((9 + -15b) + -5b * (3 + -5b)) = 0 (9 + -15b + (3 * -5b + -5b * -5b)) = 0 (9 + -15b + (-15b + 25b2)) = 0 Combine like terms: -15b + -15b = -30b (9 + -30b + 25b2) = 0 Solving 9 + -30b + 25b2 = 0 Solving for variable 'b'. Factor a trinomial. (3 + -5b)(3 + -5b) = 0Subproblem 1
Set the factor '(3 + -5b)' equal to zero and attempt to solve: Simplifying 3 + -5b = 0 Solving 3 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5b = 0 + -3 -5b = 0 + -3 Combine like terms: 0 + -3 = -3 -5b = -3 Divide each side by '-5'. b = 0.6 Simplifying b = 0.6Subproblem 2
Set the factor '(3 + -5b)' equal to zero and attempt to solve: Simplifying 3 + -5b = 0 Solving 3 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5b = 0 + -3 -5b = 0 + -3 Combine like terms: 0 + -3 = -3 -5b = -3 Divide each side by '-5'. b = 0.6 Simplifying b = 0.6Solution
b = {0.6, 0.6}
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