Solve the equation below by factoring. $2 x ^ { 2 } = 74 x$
A) $- 37$ , 37
B)37
C) $148$
D) $0,74$
E) $0,37$

Question

Quizplus · Accepted Answer

Firstly, we need to get all the terms to one side of the equation and then factor it. 
\begin{align*}
2x^2&=74x\
2x^2-74x&=0\
2x(x-37)&=0\
\end{align*}
By the zero product property, we know that if the product of two factors is zero, then at least one of the factors must be zero. So we can set each factor to zero and solve for x:
\begin{align*}
2x&=0 \qquad 	ext{or} \qquad x-37=0\
x&=0 \qquad 	ext{or} \qquad x=37\
\end{align*}
Therefore, the solutions are x=0 and x=37. The best choice is E because it includes the correct solution(s) and no extraneous solutions.

Solve the Equation Below by Factoring 2x2=74x2 x ^ { 2 } = 74 x2x2=74x

Solve the Equation Below by Factoring $2 x ^ { 2 } = 74 x$