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Question
u^{2}-15u\times 150=0
Solve the quadratic equation
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Solve by factoring
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Solve using the quadratic formula
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Solve by completing the square
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Solve using the PQ formula
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u_{1}=0,u_{2}=2250
Evaluate
u^{2}-15u\times 150=0
Multiply the terms
u^{2}-2250u=0
Factor the expression
More Steps
Evaluate
u^{2}-2250u
Rewrite the expression
u\times u-u\times 2250
\text{Factor out }u\text{ from the expression}
u\left(u-2250\right)
u\left(u-2250\right)=0
When the product of factors equals 0,at least one factor is 0
\begin{align}&u-2250=0\\&u=0\end{align}
\text{Solve the equation for }u
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Evaluate
u-2250=0
Move the constant to the right-hand side and change its sign
u=0+2250
Removing 0 doesn't change the value,so remove it from the expression
u=2250
\begin{align}&u=2250\\&u=0\end{align}
Solution
u_{1}=0,u_{2}=2250
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