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U2+19u=−60U^2+19u=-60

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Add and subtract rational numbersright chevron icon

Full solution

Q. U2+19u=−60U^2+19u=-60
  1. Move and Set Equation: First, let's move all terms to one side to set the equation to zero. u2+19u+60=0u^2 + 19u + 60 = 0
  2. Factor Quadratic Equation: Now, we need to factor the quadratic equation.\newline(u+4)(u+15)=0(u + 4)(u + 15) = 0
  3. Set Factors Equal and Solve: Next, set each factor equal to zero and solve for uu.u+4=0u + 4 = 0 or u+15=0u + 15 = 0
  4. Solve for u=−4u = -4: Solve the first equation for uu.u=−4u = -4
  5. Solve for u=−15u = -15: Solve the second equation for uu.u=−15u = -15

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