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Simplifying 0 = 4b2 + 28b + 49 Reorder the terms: 0 = 49 + 28b + 4b2 Solving 0 = 49 + 28b + 4b2 Solving for variable 'b'. Combine like terms: 0 + -49 = -49 -49 + -28b + -4b2 = 49 + 28b + 4b2 + -49 + -28b + -4b2 Reorder the terms: -49 + -28b + -4b2 = 49 + -49 + 28b + -28b + 4b2 + -4b2 Combine like terms: 49 + -49 = 0 -49 + -28b + -4b2 = 0 + 28b + -28b + 4b2 + -4b2 -49 + -28b + -4b2 = 28b + -28b + 4b2 + -4b2 Combine like terms: 28b + -28b = 0 -49 + -28b + -4b2 = 0 + 4b2 + -4b2 -49 + -28b + -4b2 = 4b2 + -4b2 Combine like terms: 4b2 + -4b2 = 0 -49 + -28b + -4b2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(49 + 28b + 4b2) = 0 Factor a trinomial. -1((7 + 2b)(7 + 2b)) = 0 Ignore the factor -1.Subproblem 1
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 = -3.5Subproblem 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 = {-3.5, -3.5}
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