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Simplifying 16b2 + 56b + 49 = 0 Reorder the terms: 49 + 56b + 16b2 = 0 Solving 49 + 56b + 16b2 = 0 Solving for variable 'b'. Factor a trinomial. (7 + 4b)(7 + 4b) = 0Subproblem 1
Set the factor '(7 + 4b)' equal to zero and attempt to solve: Simplifying 7 + 4b = 0 Solving 7 + 4b = 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 + 4b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4b = 0 + -7 4b = 0 + -7 Combine like terms: 0 + -7 = -7 4b = -7 Divide each side by '4'. b = -1.75 Simplifying b = -1.75Subproblem 2
Set the factor '(7 + 4b)' equal to zero and attempt to solve: Simplifying 7 + 4b = 0 Solving 7 + 4b = 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 + 4b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4b = 0 + -7 4b = 0 + -7 Combine like terms: 0 + -7 = -7 4b = -7 Divide each side by '4'. b = -1.75 Simplifying b = -1.75Solution
b = {-1.75, -1.75}
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