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Simplifying 3u(u + -1) = (3u + 4)(u + -5) Reorder the terms: 3u(-1 + u) = (3u + 4)(u + -5) (-1 * 3u + u * 3u) = (3u + 4)(u + -5) (-3u + 3u2) = (3u + 4)(u + -5) Reorder the terms: -3u + 3u2 = (4 + 3u)(u + -5) Reorder the terms: -3u + 3u2 = (4 + 3u)(-5 + u) Multiply (4 + 3u) * (-5 + u) -3u + 3u2 = (4(-5 + u) + 3u * (-5 + u)) -3u + 3u2 = ((-5 * 4 + u * 4) + 3u * (-5 + u)) -3u + 3u2 = ((-20 + 4u) + 3u * (-5 + u)) -3u + 3u2 = (-20 + 4u + (-5 * 3u + u * 3u)) -3u + 3u2 = (-20 + 4u + (-15u + 3u2)) Combine like terms: 4u + -15u = -11u -3u + 3u2 = (-20 + -11u + 3u2) Add '-3u2' to each side of the equation. -3u + 3u2 + -3u2 = -20 + -11u + 3u2 + -3u2 Combine like terms: 3u2 + -3u2 = 0 -3u + 0 = -20 + -11u + 3u2 + -3u2 -3u = -20 + -11u + 3u2 + -3u2 Combine like terms: 3u2 + -3u2 = 0 -3u = -20 + -11u + 0 -3u = -20 + -11u Solving -3u = -20 + -11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '11u' to each side of the equation. -3u + 11u = -20 + -11u + 11u Combine like terms: -3u + 11u = 8u 8u = -20 + -11u + 11u Combine like terms: -11u + 11u = 0 8u = -20 + 0 8u = -20 Divide each side by '8'. u = -2.5 Simplifying u = -2.5
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