What are the solutions to the equation 4x2+3x=24-x

x=2                x=-3

Step-by-step explanation:

4x2+3x=24-x

Subtract 24 from each side

4x^2 +3x -24 = 24-24 -x

4x^2 +3x -24 = -x

Add x to each side

4x^2 +3x+x -24 = -x+x

4x^2 +4x -24 = 0

Factor out a 4

4(x^2 +x -6) = 0

Divide by 4

x^2 +x -6 =0

Factor

What 2 numbers multiply to -6 and add to 1

-2*3 = -6

-2+3 =1

(x-2) (x+3) =0

Using the zero product property

x-2 =0            x+3 =0

x-2+2=0+2    x+3-3=0-3

x=2                x=-3

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: