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Simplifying (5y + -6w + -5)(2y + 7) = 0 Reorder the terms: (-5 + -6w + 5y)(2y + 7) = 0 Reorder the terms: (-5 + -6w + 5y)(7 + 2y) = 0 Multiply (-5 + -6w + 5y) * (7 + 2y) (-5(7 + 2y) + -6w * (7 + 2y) + 5y * (7 + 2y)) = 0 ((7 * -5 + 2y * -5) + -6w * (7 + 2y) + 5y * (7 + 2y)) = 0 ((-35 + -10y) + -6w * (7 + 2y) + 5y * (7 + 2y)) = 0 (-35 + -10y + (7 * -6w + 2y * -6w) + 5y * (7 + 2y)) = 0 (-35 + -10y + (-42w + -12wy) + 5y * (7 + 2y)) = 0 (-35 + -10y + -42w + -12wy + (7 * 5y + 2y * 5y)) = 0 (-35 + -10y + -42w + -12wy + (35y + 10y2)) = 0 Reorder the terms: (-35 + -42w + -12wy + -10y + 35y + 10y2) = 0 Combine like terms: -10y + 35y = 25y (-35 + -42w + -12wy + 25y + 10y2) = 0 Solving -35 + -42w + -12wy + 25y + 10y2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '35' to each side of the equation. -35 + -42w + -12wy + 25y + 35 + 10y2 = 0 + 35 Reorder the terms: -35 + 35 + -42w + -12wy + 25y + 10y2 = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -42w + -12wy + 25y + 10y2 = 0 + 35 -42w + -12wy + 25y + 10y2 = 0 + 35 Combine like terms: 0 + 35 = 35 -42w + -12wy + 25y + 10y2 = 35 Add '-25y' to each side of the equation. -42w + -12wy + 25y + -25y + 10y2 = 35 + -25y Combine like terms: 25y + -25y = 0 -42w + -12wy + 0 + 10y2 = 35 + -25y -42w + -12wy + 10y2 = 35 + -25y Add '-10y2' to each side of the equation. -42w + -12wy + 10y2 + -10y2 = 35 + -25y + -10y2 Combine like terms: 10y2 + -10y2 = 0 -42w + -12wy + 0 = 35 + -25y + -10y2 -42w + -12wy = 35 + -25y + -10y2 Reorder the terms: -35 + -42w + -12wy + 25y + 10y2 = 35 + -25y + -10y2 + -35 + 25y + 10y2 Reorder the terms: -35 + -42w + -12wy + 25y + 10y2 = 35 + -35 + -25y + 25y + -10y2 + 10y2 Combine like terms: 35 + -35 = 0 -35 + -42w + -12wy + 25y + 10y2 = 0 + -25y + 25y + -10y2 + 10y2 -35 + -42w + -12wy + 25y + 10y2 = -25y + 25y + -10y2 + 10y2 Combine like terms: -25y + 25y = 0 -35 + -42w + -12wy + 25y + 10y2 = 0 + -10y2 + 10y2 -35 + -42w + -12wy + 25y + 10y2 = -10y2 + 10y2 Combine like terms: -10y2 + 10y2 = 0 -35 + -42w + -12wy + 25y + 10y2 = 0 The solution to this equation could not be determined.
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