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Simplifying (6y + 5w + 3)(7y + -1) = 0 Reorder the terms: (3 + 5w + 6y)(7y + -1) = 0 Reorder the terms: (3 + 5w + 6y)(-1 + 7y) = 0 Multiply (3 + 5w + 6y) * (-1 + 7y) (3(-1 + 7y) + 5w * (-1 + 7y) + 6y * (-1 + 7y)) = 0 ((-1 * 3 + 7y * 3) + 5w * (-1 + 7y) + 6y * (-1 + 7y)) = 0 ((-3 + 21y) + 5w * (-1 + 7y) + 6y * (-1 + 7y)) = 0 (-3 + 21y + (-1 * 5w + 7y * 5w) + 6y * (-1 + 7y)) = 0 (-3 + 21y + (-5w + 35wy) + 6y * (-1 + 7y)) = 0 (-3 + 21y + -5w + 35wy + (-1 * 6y + 7y * 6y)) = 0 (-3 + 21y + -5w + 35wy + (-6y + 42y2)) = 0 Reorder the terms: (-3 + -5w + 35wy + 21y + -6y + 42y2) = 0 Combine like terms: 21y + -6y = 15y (-3 + -5w + 35wy + 15y + 42y2) = 0 Solving -3 + -5w + 35wy + 15y + 42y2 = 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 + -5w + 35wy + 15y + 3 + 42y2 = 0 + 3 Reorder the terms: -3 + 3 + -5w + 35wy + 15y + 42y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5w + 35wy + 15y + 42y2 = 0 + 3 -5w + 35wy + 15y + 42y2 = 0 + 3 Combine like terms: 0 + 3 = 3 -5w + 35wy + 15y + 42y2 = 3 Add '-15y' to each side of the equation. -5w + 35wy + 15y + -15y + 42y2 = 3 + -15y Combine like terms: 15y + -15y = 0 -5w + 35wy + 0 + 42y2 = 3 + -15y -5w + 35wy + 42y2 = 3 + -15y Add '-42y2' to each side of the equation. -5w + 35wy + 42y2 + -42y2 = 3 + -15y + -42y2 Combine like terms: 42y2 + -42y2 = 0 -5w + 35wy + 0 = 3 + -15y + -42y2 -5w + 35wy = 3 + -15y + -42y2 Reorder the terms: -3 + -5w + 35wy + 15y + 42y2 = 3 + -15y + -42y2 + -3 + 15y + 42y2 Reorder the terms: -3 + -5w + 35wy + 15y + 42y2 = 3 + -3 + -15y + 15y + -42y2 + 42y2 Combine like terms: 3 + -3 = 0 -3 + -5w + 35wy + 15y + 42y2 = 0 + -15y + 15y + -42y2 + 42y2 -3 + -5w + 35wy + 15y + 42y2 = -15y + 15y + -42y2 + 42y2 Combine like terms: -15y + 15y = 0 -3 + -5w + 35wy + 15y + 42y2 = 0 + -42y2 + 42y2 -3 + -5w + 35wy + 15y + 42y2 = -42y2 + 42y2 Combine like terms: -42y2 + 42y2 = 0 -3 + -5w + 35wy + 15y + 42y2 = 0 The solution to this equation could not be determined.
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