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Simplifying (6y + -7)(6y + -2w + 3) = 0 Reorder the terms: (-7 + 6y)(6y + -2w + 3) = 0 Reorder the terms: (-7 + 6y)(3 + -2w + 6y) = 0 Multiply (-7 + 6y) * (3 + -2w + 6y) (-7(3 + -2w + 6y) + 6y * (3 + -2w + 6y)) = 0 ((3 * -7 + -2w * -7 + 6y * -7) + 6y * (3 + -2w + 6y)) = 0 ((-21 + 14w + -42y) + 6y * (3 + -2w + 6y)) = 0 (-21 + 14w + -42y + (3 * 6y + -2w * 6y + 6y * 6y)) = 0 Reorder the terms: (-21 + 14w + -42y + (-12wy + 18y + 36y2)) = 0 (-21 + 14w + -42y + (-12wy + 18y + 36y2)) = 0 Reorder the terms: (-21 + 14w + -12wy + -42y + 18y + 36y2) = 0 Combine like terms: -42y + 18y = -24y (-21 + 14w + -12wy + -24y + 36y2) = 0 Solving -21 + 14w + -12wy + -24y + 36y2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 14w + -12wy + -24y + 21 + 36y2 = 0 + 21 Reorder the terms: -21 + 21 + 14w + -12wy + -24y + 36y2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 14w + -12wy + -24y + 36y2 = 0 + 21 14w + -12wy + -24y + 36y2 = 0 + 21 Combine like terms: 0 + 21 = 21 14w + -12wy + -24y + 36y2 = 21 Add '24y' to each side of the equation. 14w + -12wy + -24y + 24y + 36y2 = 21 + 24y Combine like terms: -24y + 24y = 0 14w + -12wy + 0 + 36y2 = 21 + 24y 14w + -12wy + 36y2 = 21 + 24y Add '-36y2' to each side of the equation. 14w + -12wy + 36y2 + -36y2 = 21 + 24y + -36y2 Combine like terms: 36y2 + -36y2 = 0 14w + -12wy + 0 = 21 + 24y + -36y2 14w + -12wy = 21 + 24y + -36y2 Reorder the terms: -21 + 14w + -12wy + -24y + 36y2 = 21 + 24y + -36y2 + -21 + -24y + 36y2 Reorder the terms: -21 + 14w + -12wy + -24y + 36y2 = 21 + -21 + 24y + -24y + -36y2 + 36y2 Combine like terms: 21 + -21 = 0 -21 + 14w + -12wy + -24y + 36y2 = 0 + 24y + -24y + -36y2 + 36y2 -21 + 14w + -12wy + -24y + 36y2 = 24y + -24y + -36y2 + 36y2 Combine like terms: 24y + -24y = 0 -21 + 14w + -12wy + -24y + 36y2 = 0 + -36y2 + 36y2 -21 + 14w + -12wy + -24y + 36y2 = -36y2 + 36y2 Combine like terms: -36y2 + 36y2 = 0 -21 + 14w + -12wy + -24y + 36y2 = 0 The solution to this equation could not be determined.
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