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Simplifying 5b2 + -43b + -70 = 0 Reorder the terms: -70 + -43b + 5b2 = 0 Solving -70 + -43b + 5b2 = 0 Solving for variable 'b'. Factor a trinomial. (-7 + -5b)(10 + -1b) = 0Subproblem 1
Set the factor '(-7 + -5b)' equal to zero and attempt to solve: Simplifying -7 + -5b = 0 Solving -7 + -5b = 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 + -5b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5b = 0 + 7 -5b = 0 + 7 Combine like terms: 0 + 7 = 7 -5b = 7 Divide each side by '-5'. b = -1.4 Simplifying b = -1.4Subproblem 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 = {-1.4, 10}
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