# How do you simplify -3(5x^2+2x+9)+x(2x-3)?

Apr 24, 2017

When simplifying, all you do is expand and add like terms. In this case, you get >$= - 13 {x}^{2} - 9 x - 27$.

#### Explanation:

When simplifying, all you do is expand and add like terms.

$- 3 \left(5 {x}^{2} + 2 x + 9\right) + x \left(2 x - 3\right)$

$= - 15 {x}^{2} - 6 x - 27 + 2 {x}^{2} - 3 x$

$= - 13 {x}^{2} - 9 x - 27$

I don't know if this is what you want though... If you want to simplify in order to solve it, then you have to put it into quadratic formula and simplify it there.

NOTE: I graphed the equation and it came out negative; non-existent parabola.

Hope this helps :)

Apr 24, 2017

-3(5x^2+2x+9)+x(2x-3)=color(blue)(-13x^2-9x-27

#### Explanation:

$- 3 \left(5 {x}^{2} + 2 x + 9\right) + x \left(2 x - 3\right)$

Expand by multiplying the $- 3$ through the terms in parentheses, and by multiplying the $x$ through the terms in parentheses.

$- 15 {x}^{2} - 6 x - 27 + 2 {x}^{2} - 3 x$

Gather like terms.

$- 15 {x}^{2} + 2 {x}^{2} - 6 x - 3 x - 27$

Combine like terms.

$- 13 {x}^{2} - 9 x - 27$