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Simplifying (3x + 7y)(3x + -7y) = 0 Multiply (3x + 7y) * (3x + -7y) (3x * (3x + -7y) + 7y * (3x + -7y)) = 0 ((3x * 3x + -7y * 3x) + 7y * (3x + -7y)) = 0 Reorder the terms: ((-21xy + 9x2) + 7y * (3x + -7y)) = 0 ((-21xy + 9x2) + 7y * (3x + -7y)) = 0 (-21xy + 9x2 + (3x * 7y + -7y * 7y)) = 0 (-21xy + 9x2 + (21xy + -49y2)) = 0 Reorder the terms: (-21xy + 21xy + 9x2 + -49y2) = 0 Combine like terms: -21xy + 21xy = 0 (0 + 9x2 + -49y2) = 0 (9x2 + -49y2) = 0 Solving 9x2 + -49y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49y2' to each side of the equation. 9x2 + -49y2 + 49y2 = 0 + 49y2 Combine like terms: -49y2 + 49y2 = 0 9x2 + 0 = 0 + 49y2 9x2 = 0 + 49y2 Remove the zero: 9x2 = 49y2 Divide each side by '9'. x2 = 5.444444444y2 Simplifying x2 = 5.444444444y2 Take the square root of each side: x = {-2.333333333y, 2.333333333y}
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