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Simplifying 4b2 = -6b + 70 Reorder the terms: 4b2 = 70 + -6b Solving 4b2 = 70 + -6b Solving for variable 'b'. Reorder the terms: -70 + 6b + 4b2 = 70 + -6b + -70 + 6b Reorder the terms: -70 + 6b + 4b2 = 70 + -70 + -6b + 6b Combine like terms: 70 + -70 = 0 -70 + 6b + 4b2 = 0 + -6b + 6b -70 + 6b + 4b2 = -6b + 6b Combine like terms: -6b + 6b = 0 -70 + 6b + 4b2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-35 + 3b + 2b2) = 0 Factor a trinomial. 2((-5 + -1b)(7 + -2b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1b)' equal to zero and attempt to solve: Simplifying -5 + -1b = 0 Solving -5 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1b = 0 + 5 -1b = 0 + 5 Combine like terms: 0 + 5 = 5 -1b = 5 Divide each side by '-1'. b = -5 Simplifying b = -5Subproblem 2
Set the factor '(7 + -2b)' equal to zero and attempt to solve: Simplifying 7 + -2b = 0 Solving 7 + -2b = 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 + -2b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2b = 0 + -7 -2b = 0 + -7 Combine like terms: 0 + -7 = -7 -2b = -7 Divide each side by '-2'. b = 3.5 Simplifying b = 3.5Solution
b = {-5, 3.5}
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