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Simplifying -8(-5b + 7) * 5b = 0 Reorder the terms: -8(7 + -5b) * 5b = 0 Reorder the terms for easier multiplication: -8 * 5b(7 + -5b) = 0 Multiply -8 * 5 -40b(7 + -5b) = 0 (7 * -40b + -5b * -40b) = 0 (-280b + 200b2) = 0 Solving -280b + 200b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '40b'. 40b(-7 + 5b) = 0 Ignore the factor 40.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 + 5b)' equal to zero and attempt to solve: Simplifying -7 + 5b = 0 Solving -7 + 5b = 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 + 5b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5b = 0 + 7 5b = 0 + 7 Combine like terms: 0 + 7 = 7 5b = 7 Divide each side by '5'. b = 1.4 Simplifying b = 1.4Solution
b = {0, 1.4}
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