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Simplifying (-7 + y)(x + 7y) = 0 Multiply (-7 + y) * (x + 7y) (-7(x + 7y) + y(x + 7y)) = 0 ((x * -7 + 7y * -7) + y(x + 7y)) = 0 ((-7x + -49y) + y(x + 7y)) = 0 (-7x + -49y + (x * y + 7y * y)) = 0 (-7x + -49y + (xy + 7y2)) = 0 Reorder the terms: (-7x + xy + -49y + 7y2) = 0 (-7x + xy + -49y + 7y2) = 0 Solving -7x + xy + -49y + 7y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49y' to each side of the equation. -7x + xy + -49y + 49y + 7y2 = 0 + 49y Combine like terms: -49y + 49y = 0 -7x + xy + 0 + 7y2 = 0 + 49y -7x + xy + 7y2 = 0 + 49y Remove the zero: -7x + xy + 7y2 = 49y Add '-7y2' to each side of the equation. -7x + xy + 7y2 + -7y2 = 49y + -7y2 Combine like terms: 7y2 + -7y2 = 0 -7x + xy + 0 = 49y + -7y2 -7x + xy = 49y + -7y2 Reorder the terms: -7x + xy + -49y + 7y2 = 49y + -49y + -7y2 + 7y2 Combine like terms: 49y + -49y = 0 -7x + xy + -49y + 7y2 = 0 + -7y2 + 7y2 -7x + xy + -49y + 7y2 = -7y2 + 7y2 Combine like terms: -7y2 + 7y2 = 0 -7x + xy + -49y + 7y2 = 0 The solution to this equation could not be determined.
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