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Simplifying w(4w + 6) + 2w = 2(2(w * w) + 7w + -3) Reorder the terms: w(6 + 4w) + 2w = 2(2(w * w) + 7w + -3) (6 * w + 4w * w) + 2w = 2(2(w * w) + 7w + -3) (6w + 4w2) + 2w = 2(2(w * w) + 7w + -3) Reorder the terms: 6w + 2w + 4w2 = 2(2(w * w) + 7w + -3) Combine like terms: 6w + 2w = 8w 8w + 4w2 = 2(2(w * w) + 7w + -3) Multiply w * w 8w + 4w2 = 2(2(w2) + 7w + -3) Reorder the terms: 8w + 4w2 = 2(-3 + 7w + 2w2) 8w + 4w2 = (-3 * 2 + 7w * 2 + 2w2 * 2) 8w + 4w2 = (-6 + 14w + 4w2) Add '-4w2' to each side of the equation. 8w + 4w2 + -4w2 = -6 + 14w + 4w2 + -4w2 Combine like terms: 4w2 + -4w2 = 0 8w + 0 = -6 + 14w + 4w2 + -4w2 8w = -6 + 14w + 4w2 + -4w2 Combine like terms: 4w2 + -4w2 = 0 8w = -6 + 14w + 0 8w = -6 + 14w Solving 8w = -6 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. 8w + -14w = -6 + 14w + -14w Combine like terms: 8w + -14w = -6w -6w = -6 + 14w + -14w Combine like terms: 14w + -14w = 0 -6w = -6 + 0 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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