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Simplifying (70 + -1l) * l = 1500 Reorder the terms for easier multiplication: l(70 + -1l) = 1500 (70 * l + -1l * l) = 1500 (70l + -1l2) = 1500 Solving 70l + -1l2 = 1500 Solving for variable 'l'. Reorder the terms: -1500 + 70l + -1l2 = 1500 + -1500 Combine like terms: 1500 + -1500 = 0 -1500 + 70l + -1l2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 1500 + -70l + l2 = 0 Move the constant term to the right: Add '-1500' to each side of the equation. 1500 + -70l + -1500 + l2 = 0 + -1500 Reorder the terms: 1500 + -1500 + -70l + l2 = 0 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -70l + l2 = 0 + -1500 -70l + l2 = 0 + -1500 Combine like terms: 0 + -1500 = -1500 -70l + l2 = -1500 The l term is -70l. Take half its coefficient (-35). Square it (1225) and add it to both sides. Add '1225' to each side of the equation. -70l + 1225 + l2 = -1500 + 1225 Reorder the terms: 1225 + -70l + l2 = -1500 + 1225 Combine like terms: -1500 + 1225 = -275 1225 + -70l + l2 = -275 Factor a perfect square on the left side: (l + -35)(l + -35) = -275 Can't calculate square root of the right side. The solution to this equation could not be determined.
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