x^2+3x=-5

Simple and best practice solution for x^2+3x=-5 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x^2+3x=-5 equation:


Simplifying
x2 + 3x = -5

Reorder the terms:
3x + x2 = -5

Solving
3x + x2 = -5

Solving for variable 'x'.

Reorder the terms:
5 + 3x + x2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 3x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 3x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x + x2 = 0 + -5
3x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
3x + x2 = -5

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -5 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -5 + 2.25

Combine like terms: -5 + 2.25 = -2.75
2.25 + 3x + x2 = -2.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 6(x+2)=42 | | 5n+5=3n+17 | | 25=5W | | 12.9=X+7 | | 2+8x=10x-15 | | 42=6z | | 10x+4=3x+8 | | 4a+11=6a | | 3x+2y=8 | | 5x-12=8x+24 | | x-4x+5=11 | | 7+t=34 | | -4y-y-8=12 | | 8x+17-6x=85 | | 6x+x^2=4+b | | 2(x-4)=4(2x+1) | | .5x+3=-8 | | 3x+21=6x+6 | | -n=9 | | (y-4)-(y+7)=6y | | 6+3x=21 | | s^3-3s^2-s-3=0 | | x+49=21 | | 27=-y-9y+16 | | 39.21x+2.65=-31.68+42.03x | | d-7=-3 | | x^2+8x+4=(x+4)2+b | | 8x+6y=5p | | 7.45x-8.81=5.34x+26.58 | | x+34=72 | | 2(h+4)=9 | | 27=3x+6 |

Equations solver categories