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Simplifying 8b5(4 + -10b2) = 0 (4 * 8b5 + -10b2 * 8b5) = 0 (32b5 + -80b7) = 0 Solving 32b5 + -80b7 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '16b5'. 16b5(2 + -5b2) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'b5' equal to zero and attempt to solve: Simplifying b5 = 0 Solving b5 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b5 = 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 '(2 + -5b2)' equal to zero and attempt to solve: Simplifying 2 + -5b2 = 0 Solving 2 + -5b2 = 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 + -5b2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5b2 = 0 + -2 -5b2 = 0 + -2 Combine like terms: 0 + -2 = -2 -5b2 = -2 Divide each side by '-5'. b2 = 0.4 Simplifying b2 = 0.4 Take the square root of each side: b = {-0.632455532, 0.632455532}Solution
b = {-0.632455532, 0.632455532}
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