Question

solve: 2x(x^2 + 5x - 4)

Answer 1

The given expression is-

$2x(x^2+5x-4)$

We have to find three solutions for this expression. First, we use the zero property to find the first solution.

$\begin{gathered} 2x(x^2+5x-4)=0 \\ 2x=0 \\ x^2+5x-4=0 \end{gathered}$

Where,

$x_1=0$

Now, we solve the quadratic equation to find the other two solutions.-

$x^2+5x-4=0\rightarrow(x+a)(x-b)=0$

We have to find the two solutions using the quadratic formula-

$x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

Where a=1, b=5, and c=-4.

Using the given information, we have

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