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Simplifying (11b2 + -7) + (15b2 + -1b) = 0 Reorder the terms: (-7 + 11b2) + (15b2 + -1b) = 0 Remove parenthesis around (-7 + 11b2) -7 + 11b2 + (15b2 + -1b) = 0 Reorder the terms: -7 + 11b2 + (-1b + 15b2) = 0 Remove parenthesis around (-1b + 15b2) -7 + 11b2 + -1b + 15b2 = 0 Reorder the terms: -7 + -1b + 11b2 + 15b2 = 0 Combine like terms: 11b2 + 15b2 = 26b2 -7 + -1b + 26b2 = 0 Solving -7 + -1b + 26b2 = 0 Solving for variable 'b'. Factor a trinomial. (-1 + -2b)(7 + -13b) = 0Subproblem 1
Set the factor '(-1 + -2b)' equal to zero and attempt to solve: Simplifying -1 + -2b = 0 Solving -1 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2b = 0 + 1 -2b = 0 + 1 Combine like terms: 0 + 1 = 1 -2b = 1 Divide each side by '-2'. b = -0.5 Simplifying b = -0.5Subproblem 2
Set the factor '(7 + -13b)' equal to zero and attempt to solve: Simplifying 7 + -13b = 0 Solving 7 + -13b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -13b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -13b = 0 + -7 -13b = 0 + -7 Combine like terms: 0 + -7 = -7 -13b = -7 Divide each side by '-13'. b = 0.5384615385 Simplifying b = 0.5384615385Solution
b = {-0.5, 0.5384615385}
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