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Simplifying b2 + -12b + 10 = -10 Reorder the terms: 10 + -12b + b2 = -10 Solving 10 + -12b + b2 = -10 Solving for variable 'b'. Reorder the terms: 10 + 10 + -12b + b2 = -10 + 10 Combine like terms: 10 + 10 = 20 20 + -12b + b2 = -10 + 10 Combine like terms: -10 + 10 = 0 20 + -12b + b2 = 0 Factor a trinomial. (2 + -1b)(10 + -1b) = 0Subproblem 1
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 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 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Subproblem 2
Set the factor '(10 + -1b)' equal to zero and attempt to solve: Simplifying 10 + -1b = 0 Solving 10 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1b = 0 + -10 -1b = 0 + -10 Combine like terms: 0 + -10 = -10 -1b = -10 Divide each side by '-1'. b = 10 Simplifying b = 10Solution
b = {2, 10}
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