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Simplifying 7B2 + -14B + -56 = 0 Reorder the terms: -56 + -14B + 7B2 = 0 Solving -56 + -14B + 7B2 = 0 Solving for variable 'B'. Factor out the Greatest Common Factor (GCF), '7'. 7(-8 + -2B + B2) = 0 Factor a trinomial. 7((-2 + -1B)(4 + -1B)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-2 + -1B)' equal to zero and attempt to solve: Simplifying -2 + -1B = 0 Solving -2 + -1B = 0 Move all terms containing B to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1B = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1B = 0 + 2 -1B = 0 + 2 Combine like terms: 0 + 2 = 2 -1B = 2 Divide each side by '-1'. B = -2 Simplifying B = -2Subproblem 2
Set the factor '(4 + -1B)' equal to zero and attempt to solve: Simplifying 4 + -1B = 0 Solving 4 + -1B = 0 Move all terms containing B to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1B = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1B = 0 + -4 -1B = 0 + -4 Combine like terms: 0 + -4 = -4 -1B = -4 Divide each side by '-1'. B = 4 Simplifying B = 4Solution
B = {-2, 4}
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