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Simplifying (7m + y)(7m + -1y) = 0 Multiply (7m + y) * (7m + -1y) (7m * (7m + -1y) + y(7m + -1y)) = 0 ((7m * 7m + -1y * 7m) + y(7m + -1y)) = 0 Reorder the terms: ((-7my + 49m2) + y(7m + -1y)) = 0 ((-7my + 49m2) + y(7m + -1y)) = 0 (-7my + 49m2 + (7m * y + -1y * y)) = 0 (-7my + 49m2 + (7my + -1y2)) = 0 Reorder the terms: (-7my + 7my + 49m2 + -1y2) = 0 Combine like terms: -7my + 7my = 0 (0 + 49m2 + -1y2) = 0 (49m2 + -1y2) = 0 Solving 49m2 + -1y2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'y2' to each side of the equation. 49m2 + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 49m2 + 0 = 0 + y2 49m2 = 0 + y2 Remove the zero: 49m2 = y2 Divide each side by '49'. m2 = 0.02040816327y2 Simplifying m2 = 0.02040816327y2 Take the square root of each side: m = {-0.142857143y, 0.142857143y}
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