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Simplifying b2 + 10b + -1200 = 0 Reorder the terms: -1200 + 10b + b2 = 0 Solving -1200 + 10b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (-40 + -1b)(30 + -1b) = 0Subproblem 1
Set the factor '(-40 + -1b)' equal to zero and attempt to solve: Simplifying -40 + -1b = 0 Solving -40 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -1b = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1b = 0 + 40 -1b = 0 + 40 Combine like terms: 0 + 40 = 40 -1b = 40 Divide each side by '-1'. b = -40 Simplifying b = -40Subproblem 2
Set the factor '(30 + -1b)' equal to zero and attempt to solve: Simplifying 30 + -1b = 0 Solving 30 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1b = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1b = 0 + -30 -1b = 0 + -30 Combine like terms: 0 + -30 = -30 -1b = -30 Divide each side by '-1'. b = 30 Simplifying b = 30Solution
b = {-40, 30}
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