Solve p(x)=5x-4x^2+3text{for}x=2

$$p ( x ) = 5 x - 4 x ^ { 2 } + 3 \text { for } x = 2$$

Solve for p, x

$$x=2$$

$$p = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$p\times 2=5\times 2-4\times 2^{2}+3$$

Multiply 5 and 2 to get 10.

$$p\times 2=10-4\times 2^{2}+3$$

Calculate 2 to the power of 2 and get 4.

$$p\times 2=10-4\times 4+3$$

Multiply -4 and 4 to get -16.

$$p\times 2=10-16+3$$

Subtract 16 from 10 to get -6.

$$p\times 2=-6+3$$

Add -6 and 3 to get -3.

$$p\times 2=-3$$

Divide both sides by 2.

$$p=-\frac{3}{2}$$

The system is now solved.

$$p=-\frac{3}{2} x=2$$