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Simplifying 32u2 + -50u4 = 0 Solving 32u2 + -50u4 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2u2'. 2u2(16 + -25u2) = 0 Factor a difference between two squares. 2u2((4 + 5u)(4 + -5u)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'u2' equal to zero and attempt to solve: Simplifying u2 = 0 Solving u2 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u2 = 0 Take the square root of each side: u = {0}Subproblem 2
Set the factor '(4 + 5u)' equal to zero and attempt to solve: Simplifying 4 + 5u = 0 Solving 4 + 5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5u = 0 + -4 5u = 0 + -4 Combine like terms: 0 + -4 = -4 5u = -4 Divide each side by '5'. u = -0.8 Simplifying u = -0.8Subproblem 3
Set the factor '(4 + -5u)' equal to zero and attempt to solve: Simplifying 4 + -5u = 0 Solving 4 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5u = 0 + -4 -5u = 0 + -4 Combine like terms: 0 + -4 = -4 -5u = -4 Divide each side by '-5'. u = 0.8 Simplifying u = 0.8Solution
u = {0, -0.8, 0.8}
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