What is 1/2 x^2+4-3/2 x^2+5+x^2+2 ?

The solution to 1/2 x^2+4-3/2 x^2+5+x^2+2 is 11

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simplify 1/2 x^2+4-3/2 x^2+5+x^2+2

simplify

\frac{1}{2} x^{2} + 4 - \frac{3}{2} x^{2} + 5 + x^{2} + 2

11

Solution steps

\frac{1}{2} x^{2} + 4 - \frac{3}{2} x^{2} + 5 + x^{2} + 2

Group like terms

= x^{2} + \frac{1}{2} x^{2} - \frac{3}{2} x^{2} + 4 + 5 + 2

Factor out common term

x^{2} : x^{2} (1 + \frac{1}{2} - \frac{3}{2})

= x^{2} (1 + \frac{1}{2} - \frac{3}{2}) + 4 + 5 + 2

Add the numbers:

4 + 5 + 2 = 11

= x^{2} (1 + \frac{1}{2} - \frac{3}{2}) + 11

Simplify

x^{2} (1 + \frac{1}{2} - \frac{3}{2}) : 0

= 0 + 11

Add the numbers:

0 + 11 = 11

= 11

\frac{9 2}{- 2}

5 x^{4} - 15 x^{2} - 20

(x^{2} + 4 x + 2) (2 x^{2} + 3 x - 4)

e^{\frac{π}{3} i}

(s + 1) (2 s + 1)

What is 1/2 x^2+4-3/2 x^2+5+x^2+2 ?
The solution to 1/2 x^2+4-3/2 x^2+5+x^2+2 is 11