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Solve for u. 4u^(2)=-12 u-9 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution." u= ◻

Solve for u u .\newline4u2=−12u−9 4 u^{2}=-12 u-9 \newlineIf there is more than one solution, separate them with commas. If there is no solution, click on

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Sin, cos, and tan of special anglesright chevron icon

Full solution

Q. Solve for u u .\newline4u2=−12u−9 4 u^{2}=-12 u-9 \newlineIf there is more than one solution, separate them with commas. If there is no solution, click on
  1. Factor the quadratic equation: Now, we need to factor the quadratic equation if possible.\newline(2u+3)(2u+3)=0(2u + 3)(2u + 3) = 0
  2. Solve for uu: Set each factor equal to zero and solve for uu.2u+3=02u + 3 = 0u=−32u = -\frac{3}{2}
  3. Final solution: Since both factors are the same, we only get one solution for uu. \newlineu=−32u = -\frac{3}{2}

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