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Simplifying (7y + 6)(5y + -2w + 7) = 0 Reorder the terms: (6 + 7y)(5y + -2w + 7) = 0 Reorder the terms: (6 + 7y)(7 + -2w + 5y) = 0 Multiply (6 + 7y) * (7 + -2w + 5y) (6(7 + -2w + 5y) + 7y * (7 + -2w + 5y)) = 0 ((7 * 6 + -2w * 6 + 5y * 6) + 7y * (7 + -2w + 5y)) = 0 ((42 + -12w + 30y) + 7y * (7 + -2w + 5y)) = 0 (42 + -12w + 30y + (7 * 7y + -2w * 7y + 5y * 7y)) = 0 Reorder the terms: (42 + -12w + 30y + (-14wy + 49y + 35y2)) = 0 (42 + -12w + 30y + (-14wy + 49y + 35y2)) = 0 Reorder the terms: (42 + -12w + -14wy + 30y + 49y + 35y2) = 0 Combine like terms: 30y + 49y = 79y (42 + -12w + -14wy + 79y + 35y2) = 0 Solving 42 + -12w + -14wy + 79y + 35y2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -12w + -14wy + 79y + -42 + 35y2 = 0 + -42 Reorder the terms: 42 + -42 + -12w + -14wy + 79y + 35y2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -12w + -14wy + 79y + 35y2 = 0 + -42 -12w + -14wy + 79y + 35y2 = 0 + -42 Combine like terms: 0 + -42 = -42 -12w + -14wy + 79y + 35y2 = -42 Add '-79y' to each side of the equation. -12w + -14wy + 79y + -79y + 35y2 = -42 + -79y Combine like terms: 79y + -79y = 0 -12w + -14wy + 0 + 35y2 = -42 + -79y -12w + -14wy + 35y2 = -42 + -79y Add '-35y2' to each side of the equation. -12w + -14wy + 35y2 + -35y2 = -42 + -79y + -35y2 Combine like terms: 35y2 + -35y2 = 0 -12w + -14wy + 0 = -42 + -79y + -35y2 -12w + -14wy = -42 + -79y + -35y2 Reorder the terms: 42 + -12w + -14wy + 79y + 35y2 = -42 + -79y + -35y2 + 42 + 79y + 35y2 Reorder the terms: 42 + -12w + -14wy + 79y + 35y2 = -42 + 42 + -79y + 79y + -35y2 + 35y2 Combine like terms: -42 + 42 = 0 42 + -12w + -14wy + 79y + 35y2 = 0 + -79y + 79y + -35y2 + 35y2 42 + -12w + -14wy + 79y + 35y2 = -79y + 79y + -35y2 + 35y2 Combine like terms: -79y + 79y = 0 42 + -12w + -14wy + 79y + 35y2 = 0 + -35y2 + 35y2 42 + -12w + -14wy + 79y + 35y2 = -35y2 + 35y2 Combine like terms: -35y2 + 35y2 = 0 42 + -12w + -14wy + 79y + 35y2 = 0 The solution to this equation could not be determined.
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