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Simplifying 5b2 + -12b + -4 = -4 + -8b Reorder the terms: -4 + -12b + 5b2 = -4 + -8b Add '4' to each side of the equation. -4 + -12b + 4 + 5b2 = -4 + 4 + -8b Reorder the terms: -4 + 4 + -12b + 5b2 = -4 + 4 + -8b Combine like terms: -4 + 4 = 0 0 + -12b + 5b2 = -4 + 4 + -8b -12b + 5b2 = -4 + 4 + -8b Combine like terms: -4 + 4 = 0 -12b + 5b2 = 0 + -8b -12b + 5b2 = -8b Solving -12b + 5b2 = -8b Solving for variable 'b'. Reorder the terms: -12b + 8b + 5b2 = -8b + 8b Combine like terms: -12b + 8b = -4b -4b + 5b2 = -8b + 8b Combine like terms: -8b + 8b = 0 -4b + 5b2 = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(-4 + 5b) = 0Subproblem 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 '(-4 + 5b)' equal to zero and attempt to solve: Simplifying -4 + 5b = 0 Solving -4 + 5b = 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 + 5b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5b = 0 + 4 5b = 0 + 4 Combine like terms: 0 + 4 = 4 5b = 4 Divide each side by '5'. b = 0.8 Simplifying b = 0.8Solution
b = {0, 0.8}
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