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Simplifying (5y + 3)(7y + -7w + 1) = 0 Reorder the terms: (3 + 5y)(7y + -7w + 1) = 0 Reorder the terms: (3 + 5y)(1 + -7w + 7y) = 0 Multiply (3 + 5y) * (1 + -7w + 7y) (3(1 + -7w + 7y) + 5y * (1 + -7w + 7y)) = 0 ((1 * 3 + -7w * 3 + 7y * 3) + 5y * (1 + -7w + 7y)) = 0 ((3 + -21w + 21y) + 5y * (1 + -7w + 7y)) = 0 (3 + -21w + 21y + (1 * 5y + -7w * 5y + 7y * 5y)) = 0 Reorder the terms: (3 + -21w + 21y + (-35wy + 5y + 35y2)) = 0 (3 + -21w + 21y + (-35wy + 5y + 35y2)) = 0 Reorder the terms: (3 + -21w + -35wy + 21y + 5y + 35y2) = 0 Combine like terms: 21y + 5y = 26y (3 + -21w + -35wy + 26y + 35y2) = 0 Solving 3 + -21w + -35wy + 26y + 35y2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -21w + -35wy + 26y + -3 + 35y2 = 0 + -3 Reorder the terms: 3 + -3 + -21w + -35wy + 26y + 35y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -21w + -35wy + 26y + 35y2 = 0 + -3 -21w + -35wy + 26y + 35y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -21w + -35wy + 26y + 35y2 = -3 Add '-26y' to each side of the equation. -21w + -35wy + 26y + -26y + 35y2 = -3 + -26y Combine like terms: 26y + -26y = 0 -21w + -35wy + 0 + 35y2 = -3 + -26y -21w + -35wy + 35y2 = -3 + -26y Add '-35y2' to each side of the equation. -21w + -35wy + 35y2 + -35y2 = -3 + -26y + -35y2 Combine like terms: 35y2 + -35y2 = 0 -21w + -35wy + 0 = -3 + -26y + -35y2 -21w + -35wy = -3 + -26y + -35y2 Reorder the terms: 3 + -21w + -35wy + 26y + 35y2 = -3 + -26y + -35y2 + 3 + 26y + 35y2 Reorder the terms: 3 + -21w + -35wy + 26y + 35y2 = -3 + 3 + -26y + 26y + -35y2 + 35y2 Combine like terms: -3 + 3 = 0 3 + -21w + -35wy + 26y + 35y2 = 0 + -26y + 26y + -35y2 + 35y2 3 + -21w + -35wy + 26y + 35y2 = -26y + 26y + -35y2 + 35y2 Combine like terms: -26y + 26y = 0 3 + -21w + -35wy + 26y + 35y2 = 0 + -35y2 + 35y2 3 + -21w + -35wy + 26y + 35y2 = -35y2 + 35y2 Combine like terms: -35y2 + 35y2 = 0 3 + -21w + -35wy + 26y + 35y2 = 0 The solution to this equation could not be determined.
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