What is the solution set for 2x^2+15=-11x

x = {-3, -2.5}

Step-by-step explanation:

Simplifying

3 + x = 0

Solving

3 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + x = 0 + -3

x = 0 + -3

Combine like terms: 0 + -3 = -3

x = -3

Simplifying

x = -3

Simplifying

5 + 2x = 0

Solving

5 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0

0 + 2x = 0 + -5

2x = 0 + -5

Combine like terms: 0 + -5 = -5

2x = -5

Divide each side by '2'.

x = -2.5

Simplifying

x = -2.5

 11

Step-by-step explanation:

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: