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Simplifying 10b2 + -3b + -7 = 0 Reorder the terms: -7 + -3b + 10b2 = 0 Solving -7 + -3b + 10b2 = 0 Solving for variable 'b'. Factor a trinomial. (-7 + -10b)(1 + -1b) = 0Subproblem 1
Set the factor '(-7 + -10b)' equal to zero and attempt to solve: Simplifying -7 + -10b = 0 Solving -7 + -10b = 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 + -10b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -10b = 0 + 7 -10b = 0 + 7 Combine like terms: 0 + 7 = 7 -10b = 7 Divide each side by '-10'. b = -0.7 Simplifying b = -0.7Subproblem 2
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 = 1Solution
b = {-0.7, 1}
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