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Simplifying (7y + -3)(2y + -5w + 1) = 0 Reorder the terms: (-3 + 7y)(2y + -5w + 1) = 0 Reorder the terms: (-3 + 7y)(1 + -5w + 2y) = 0 Multiply (-3 + 7y) * (1 + -5w + 2y) (-3(1 + -5w + 2y) + 7y * (1 + -5w + 2y)) = 0 ((1 * -3 + -5w * -3 + 2y * -3) + 7y * (1 + -5w + 2y)) = 0 ((-3 + 15w + -6y) + 7y * (1 + -5w + 2y)) = 0 (-3 + 15w + -6y + (1 * 7y + -5w * 7y + 2y * 7y)) = 0 Reorder the terms: (-3 + 15w + -6y + (-35wy + 7y + 14y2)) = 0 (-3 + 15w + -6y + (-35wy + 7y + 14y2)) = 0 Reorder the terms: (-3 + 15w + -35wy + -6y + 7y + 14y2) = 0 Combine like terms: -6y + 7y = 1y (-3 + 15w + -35wy + 1y + 14y2) = 0 Solving -3 + 15w + -35wy + 1y + 14y2 = 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 + 15w + -35wy + 1y + 3 + 14y2 = 0 + 3 Reorder the terms: -3 + 3 + 15w + -35wy + 1y + 14y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 15w + -35wy + 1y + 14y2 = 0 + 3 15w + -35wy + 1y + 14y2 = 0 + 3 Combine like terms: 0 + 3 = 3 15w + -35wy + 1y + 14y2 = 3 Add '-1y' to each side of the equation. 15w + -35wy + 1y + -1y + 14y2 = 3 + -1y Combine like terms: 1y + -1y = 0 15w + -35wy + 0 + 14y2 = 3 + -1y 15w + -35wy + 14y2 = 3 + -1y Add '-14y2' to each side of the equation. 15w + -35wy + 14y2 + -14y2 = 3 + -1y + -14y2 Combine like terms: 14y2 + -14y2 = 0 15w + -35wy + 0 = 3 + -1y + -14y2 15w + -35wy = 3 + -1y + -14y2 Reorder the terms: -3 + 15w + -35wy + y + 14y2 = 3 + -1y + -14y2 + -3 + y + 14y2 Reorder the terms: -3 + 15w + -35wy + y + 14y2 = 3 + -3 + -1y + y + -14y2 + 14y2 Combine like terms: 3 + -3 = 0 -3 + 15w + -35wy + y + 14y2 = 0 + -1y + y + -14y2 + 14y2 -3 + 15w + -35wy + y + 14y2 = -1y + y + -14y2 + 14y2 Combine like terms: -1y + y = 0 -3 + 15w + -35wy + y + 14y2 = 0 + -14y2 + 14y2 -3 + 15w + -35wy + y + 14y2 = -14y2 + 14y2 Combine like terms: -14y2 + 14y2 = 0 -3 + 15w + -35wy + y + 14y2 = 0 The solution to this equation could not be determined.
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