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Simplifying 9b4(10b2 + -4) = 0 Reorder the terms: 9b4(-4 + 10b2) = 0 (-4 * 9b4 + 10b2 * 9b4) = 0 (-36b4 + 90b6) = 0 Solving -36b4 + 90b6 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '18b4'. 18b4(-2 + 5b2) = 0 Ignore the factor 18.Subproblem 1
Set the factor 'b4' equal to zero and attempt to solve: Simplifying b4 = 0 Solving b4 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b4 = 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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