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Simplifying u(u2 + -13u2 + 36) = 0 Reorder the terms: u(36 + u2 + -13u2) = 0 Combine like terms: u2 + -13u2 = -12u2 u(36 + -12u2) = 0 (36 * u + -12u2 * u) = 0 (36u + -12u3) = 0 Solving 36u + -12u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '12u'. 12u(3 + -1u2) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(3 + -1u2)' equal to zero and attempt to solve: Simplifying 3 + -1u2 = 0 Solving 3 + -1u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1u2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1u2 = 0 + -3 -1u2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1u2 = -3 Divide each side by '-1'. u2 = 3 Simplifying u2 = 3 Take the square root of each side: u = {-1.732050808, 1.732050808}Solution
u = {0, -1.732050808, 1.732050808}
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