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Simplifying -1(-3b2 + -6b) + -4(5b + -8b2) = 0 Reorder the terms: -1(-6b + -3b2) + -4(5b + -8b2) = 0 (-6b * -1 + -3b2 * -1) + -4(5b + -8b2) = 0 (6b + 3b2) + -4(5b + -8b2) = 0 6b + 3b2 + (5b * -4 + -8b2 * -4) = 0 6b + 3b2 + (-20b + 32b2) = 0 Reorder the terms: 6b + -20b + 3b2 + 32b2 = 0 Combine like terms: 6b + -20b = -14b -14b + 3b2 + 32b2 = 0 Combine like terms: 3b2 + 32b2 = 35b2 -14b + 35b2 = 0 Solving -14b + 35b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '7b'. 7b(-2 + 5b) = 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 '(-2 + 5b)' equal to zero and attempt to solve: Simplifying -2 + 5b = 0 Solving -2 + 5b = 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 + 5b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5b = 0 + 2 5b = 0 + 2 Combine like terms: 0 + 2 = 2 5b = 2 Divide each side by '5'. b = 0.4 Simplifying b = 0.4Solution
b = {0, 0.4}
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