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Simplifying (6 + -1u)(5u + -2) = 0 Reorder the terms: (6 + -1u)(-2 + 5u) = 0 Multiply (6 + -1u) * (-2 + 5u) (6(-2 + 5u) + -1u * (-2 + 5u)) = 0 ((-2 * 6 + 5u * 6) + -1u * (-2 + 5u)) = 0 ((-12 + 30u) + -1u * (-2 + 5u)) = 0 (-12 + 30u + (-2 * -1u + 5u * -1u)) = 0 (-12 + 30u + (2u + -5u2)) = 0 Combine like terms: 30u + 2u = 32u (-12 + 32u + -5u2) = 0 Solving -12 + 32u + -5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-6 + u)(2 + -5u) = 0Subproblem 1
Set the factor '(-6 + u)' equal to zero and attempt to solve: Simplifying -6 + u = 0 Solving -6 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + u = 0 + 6 Combine like terms: -6 + 6 = 0 0 + u = 0 + 6 u = 0 + 6 Combine like terms: 0 + 6 = 6 u = 6 Simplifying u = 6Subproblem 2
Set the factor '(2 + -5u)' equal to zero and attempt to solve: Simplifying 2 + -5u = 0 Solving 2 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5u = 0 + -2 -5u = 0 + -2 Combine like terms: 0 + -2 = -2 -5u = -2 Divide each side by '-5'. u = 0.4 Simplifying u = 0.4Solution
u = {6, 0.4}
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