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Simplifying 4b3(8 + -5b2) = 0 (8 * 4b3 + -5b2 * 4b3) = 0 (32b3 + -20b5) = 0 Solving 32b3 + -20b5 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b3'. 4b3(8 + -5b2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'b3' equal to zero and attempt to solve: Simplifying b3 = 0 Solving b3 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(8 + -5b2)' equal to zero and attempt to solve: Simplifying 8 + -5b2 = 0 Solving 8 + -5b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5b2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5b2 = 0 + -8 -5b2 = 0 + -8 Combine like terms: 0 + -8 = -8 -5b2 = -8 Divide each side by '-5'. b2 = 1.6 Simplifying b2 = 1.6 Take the square root of each side: b = {-1.264911064, 1.264911064}Solution
b = {-1.264911064, 1.264911064}
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