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Simplifying (3b + -2)(3b + -2) = 0 Reorder the terms: (-2 + 3b)(3b + -2) = 0 Reorder the terms: (-2 + 3b)(-2 + 3b) = 0 Multiply (-2 + 3b) * (-2 + 3b) (-2(-2 + 3b) + 3b * (-2 + 3b)) = 0 ((-2 * -2 + 3b * -2) + 3b * (-2 + 3b)) = 0 ((4 + -6b) + 3b * (-2 + 3b)) = 0 (4 + -6b + (-2 * 3b + 3b * 3b)) = 0 (4 + -6b + (-6b + 9b2)) = 0 Combine like terms: -6b + -6b = -12b (4 + -12b + 9b2) = 0 Solving 4 + -12b + 9b2 = 0 Solving for variable 'b'. Factor a trinomial. (2 + -3b)(2 + -3b) = 0Subproblem 1
Set the factor '(2 + -3b)' equal to zero and attempt to solve: Simplifying 2 + -3b = 0 Solving 2 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3b = 0 + -2 -3b = 0 + -2 Combine like terms: 0 + -2 = -2 -3b = -2 Divide each side by '-3'. b = 0.6666666667 Simplifying b = 0.6666666667Subproblem 2
Set the factor '(2 + -3b)' equal to zero and attempt to solve: Simplifying 2 + -3b = 0 Solving 2 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3b = 0 + -2 -3b = 0 + -2 Combine like terms: 0 + -2 = -2 -3b = -2 Divide each side by '-3'. b = 0.6666666667 Simplifying b = 0.6666666667Solution
b = {0.6666666667, 0.6666666667}
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