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Simplifying 7b(7 + -1b) = 0 (7 * 7b + -1b * 7b) = 0 (49b + -7b2) = 0 Solving 49b + -7b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '7b'. 7b(7 + -1b) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 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 = {0, 7}
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