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Simplifying (q + -7)(q2 + 7q + 49) = 0 Reorder the terms: (-7 + q)(q2 + 7q + 49) = 0 Reorder the terms: (-7 + q)(49 + 7q + q2) = 0 Multiply (-7 + q) * (49 + 7q + q2) (-7(49 + 7q + q2) + q(49 + 7q + q2)) = 0 ((49 * -7 + 7q * -7 + q2 * -7) + q(49 + 7q + q2)) = 0 ((-343 + -49q + -7q2) + q(49 + 7q + q2)) = 0 (-343 + -49q + -7q2 + (49 * q + 7q * q + q2 * q)) = 0 (-343 + -49q + -7q2 + (49q + 7q2 + q3)) = 0 Reorder the terms: (-343 + -49q + 49q + -7q2 + 7q2 + q3) = 0 Combine like terms: -49q + 49q = 0 (-343 + 0 + -7q2 + 7q2 + q3) = 0 (-343 + -7q2 + 7q2 + q3) = 0 Combine like terms: -7q2 + 7q2 = 0 (-343 + 0 + q3) = 0 (-343 + q3) = 0 Solving -343 + q3 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '343' to each side of the equation. -343 + 343 + q3 = 0 + 343 Combine like terms: -343 + 343 = 0 0 + q3 = 0 + 343 q3 = 0 + 343 Combine like terms: 0 + 343 = 343 q3 = 343 Simplifying q3 = 343 Reorder the terms: -343 + q3 = 343 + -343 Combine like terms: 343 + -343 = 0 -343 + q3 = 0 The solution to this equation could not be determined.
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