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Simplifying 2b2 + 7b = 130 Reorder the terms: 7b + 2b2 = 130 Solving 7b + 2b2 = 130 Solving for variable 'b'. Reorder the terms: -130 + 7b + 2b2 = 130 + -130 Combine like terms: 130 + -130 = 0 -130 + 7b + 2b2 = 0 Factor a trinomial. (-10 + -1b)(13 + -2b) = 0Subproblem 1
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 = -10Subproblem 2
Set the factor '(13 + -2b)' equal to zero and attempt to solve: Simplifying 13 + -2b = 0 Solving 13 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2b = 0 + -13 -2b = 0 + -13 Combine like terms: 0 + -13 = -13 -2b = -13 Divide each side by '-2'. b = 6.5 Simplifying b = 6.5Solution
b = {-10, 6.5}
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