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Simplifying 7b(-6b + -4) = 0 Reorder the terms: 7b(-4 + -6b) = 0 (-4 * 7b + -6b * 7b) = 0 (-28b + -42b2) = 0 Solving -28b + -42b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '-14b'. -14b(2 + 3b) = 0 Ignore the factor -14.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 '(2 + 3b)' equal to zero and attempt to solve: Simplifying 2 + 3b = 0 Solving 2 + 3b = 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 + 3b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3b = 0 + -2 3b = 0 + -2 Combine like terms: 0 + -2 = -2 3b = -2 Divide each side by '3'. b = -0.6666666667 Simplifying b = -0.6666666667Solution
b = {0, -0.6666666667}
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