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Simplifying 2b2 = 15b + -7 Reorder the terms: 2b2 = -7 + 15b Solving 2b2 = -7 + 15b Solving for variable 'b'. Reorder the terms: 7 + -15b + 2b2 = -7 + 15b + 7 + -15b Reorder the terms: 7 + -15b + 2b2 = -7 + 7 + 15b + -15b Combine like terms: -7 + 7 = 0 7 + -15b + 2b2 = 0 + 15b + -15b 7 + -15b + 2b2 = 15b + -15b Combine like terms: 15b + -15b = 0 7 + -15b + 2b2 = 0 Factor a trinomial. (1 + -2b)(7 + -1b) = 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 + -1b)' equal to zero and attempt to solve: Simplifying 7 + -1b = 0 Solving 7 + -1b = 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 + -1b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 0 + -7 -1b = 0 + -7 Combine like terms: 0 + -7 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7Solution
b = {0.5, 7}
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