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Simplifying (X + -7y)(4x + 5y) = 0 Multiply (X + -7y) * (4x + 5y) (X(4x + 5y) + -7y * (4x + 5y)) = 0 ((4x * X + 5y * X) + -7y * (4x + 5y)) = 0 ((4xX + 5yX) + -7y * (4x + 5y)) = 0 (4xX + 5yX + (4x * -7y + 5y * -7y)) = 0 (4xX + 5yX + (-28xy + -35y2)) = 0 Reorder the terms: (4xX + -28xy + 5yX + -35y2) = 0 (4xX + -28xy + 5yX + -35y2) = 0 Solving 4xX + -28xy + 5yX + -35y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5yX' to each side of the equation. 4xX + -28xy + 5yX + -5yX + -35y2 = 0 + -5yX Combine like terms: 5yX + -5yX = 0 4xX + -28xy + 0 + -35y2 = 0 + -5yX 4xX + -28xy + -35y2 = 0 + -5yX Remove the zero: 4xX + -28xy + -35y2 = -5yX Add '35y2' to each side of the equation. 4xX + -28xy + -35y2 + 35y2 = -5yX + 35y2 Combine like terms: -35y2 + 35y2 = 0 4xX + -28xy + 0 = -5yX + 35y2 4xX + -28xy = -5yX + 35y2 Reorder the terms: 4xX + -28xy + 5yX + -35y2 = -5yX + 5yX + 35y2 + -35y2 Combine like terms: -5yX + 5yX = 0 4xX + -28xy + 5yX + -35y2 = 0 + 35y2 + -35y2 4xX + -28xy + 5yX + -35y2 = 35y2 + -35y2 Combine like terms: 35y2 + -35y2 = 0 4xX + -28xy + 5yX + -35y2 = 0 The solution to this equation could not be determined.
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