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Simplifying -2b2 + -5b + 10 = 3 Reorder the terms: 10 + -5b + -2b2 = 3 Solving 10 + -5b + -2b2 = 3 Solving for variable 'b'. Reorder the terms: 10 + -3 + -5b + -2b2 = 3 + -3 Combine like terms: 10 + -3 = 7 7 + -5b + -2b2 = 3 + -3 Combine like terms: 3 + -3 = 0 7 + -5b + -2b2 = 0 Factor a trinomial. (1 + -1b)(7 + 2b) = 0Subproblem 1
Set the factor '(1 + -1b)' equal to zero and attempt to solve: Simplifying 1 + -1b = 0 Solving 1 + -1b = 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 + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = 0 + -1 -1b = 0 + -1 Combine like terms: 0 + -1 = -1 -1b = -1 Divide each side by '-1'. b = 1 Simplifying b = 1Subproblem 2
Set the factor '(7 + 2b)' equal to zero and attempt to solve: Simplifying 7 + 2b = 0 Solving 7 + 2b = 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 + 2b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2b = 0 + -7 2b = 0 + -7 Combine like terms: 0 + -7 = -7 2b = -7 Divide each side by '2'. b = -3.5 Simplifying b = -3.5Solution
b = {1, -3.5}
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