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Simplifying 4b2 + -7b + -28b + 49 = 0 Reorder the terms: 49 + -7b + -28b + 4b2 = 0 Combine like terms: -7b + -28b = -35b 49 + -35b + 4b2 = 0 Solving 49 + -35b + 4b2 = 0 Solving for variable 'b'. Factor a trinomial. (7 + -4b)(7 + -1b) = 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 + -1b)' equal to zero and attempt to solve: Simplifying 7 + -1b = 0 Solving 7 + -1b = 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 + -1b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 0 + -7 -1b = 0 + -7 Combine like terms: 0 + -7 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7Solution
b = {1.75, 7}
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