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Solve for ww: w2+w=12w^2+w=12

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Q. Solve for ww: w2+w=12w^2+w=12
  1. Rewrite Equation: Rewrite the equation in standard quadratic form.\newlinew2+w−12=0w^2 + w - 12 = 0
  2. Factorize Quadratic: Factorize the quadratic equation.\newlineLooking for two numbers that multiply to −12-12 and add up to 11. These numbers are 44 and −3-3.\newline(w+4)(w−3)=0(w + 4)(w - 3) = 0
  3. Solve for ww: Solve for ww using the zero product property.\newlineIf (w+4)=0(w + 4) = 0, then w=−4w = -4.\newlineIf (w−3)=0(w - 3) = 0, then w=3w = 3.

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