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Simplifying 5y(x + y) = 20 + 3x (x * 5y + y * 5y) = 20 + 3x (5xy + 5y2) = 20 + 3x Solving 5xy + 5y2 = 20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5xy + -3x + 5y2 = 20 + 3x + -3x Reorder the terms: -3x + 5xy + 5y2 = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -3x + 5xy + 5y2 = 20 + 0 -3x + 5xy + 5y2 = 20 Add '-5y2' to each side of the equation. -3x + 5xy + 5y2 + -5y2 = 20 + -5y2 Combine like terms: 5y2 + -5y2 = 0 -3x + 5xy + 0 = 20 + -5y2 -3x + 5xy = 20 + -5y2 Reorder the terms: -20 + -3x + 5xy + 5y2 = 20 + -5y2 + -20 + 5y2 Reorder the terms: -20 + -3x + 5xy + 5y2 = 20 + -20 + -5y2 + 5y2 Combine like terms: 20 + -20 = 0 -20 + -3x + 5xy + 5y2 = 0 + -5y2 + 5y2 -20 + -3x + 5xy + 5y2 = -5y2 + 5y2 Combine like terms: -5y2 + 5y2 = 0 -20 + -3x + 5xy + 5y2 = 0 The solution to this equation could not be determined.
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