x^2+(k+3)x+(3k+1)=0

Simple and best practice solution for x^2+(k+3)x+(3k+1)=0 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+(k+3)x+(3k+1)=0 equation: 


Simplifying
x2 + (k + 3) * x + (3k + 1) = 0

Reorder the terms:
x2 + (3 + k) * x + (3k + 1) = 0

Reorder the terms for easier multiplication:
x2 + x(3 + k) + (3k + 1) = 0
x2 + (3 * x + k * x) + (3k + 1) = 0

Reorder the terms:
x2 + (kx + 3x) + (3k + 1) = 0
x2 + (kx + 3x) + (3k + 1) = 0

Reorder the terms:
x2 + kx + 3x + (1 + 3k) = 0

Remove parenthesis around (1 + 3k)
x2 + kx + 3x + 1 + 3k = 0

Reorder the terms:
1 + 3k + kx + 3x + x2 = 0

Solving
1 + 3k + kx + 3x + x2 = 0

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + 3k + kx + 3x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 3k + kx + 3x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3k + kx + 3x + x2 = 0 + -1
3k + kx + 3x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
3k + kx + 3x + x2 = -1

Add '-3x' to each side of the equation.
3k + kx + 3x + -3x + x2 = -1 + -3x

Combine like terms: 3x + -3x = 0
3k + kx + 0 + x2 = -1 + -3x
3k + kx + x2 = -1 + -3x

Add '-1x2' to each side of the equation.
3k + kx + x2 + -1x2 = -1 + -3x + -1x2

Combine like terms: x2 + -1x2 = 0
3k + kx + 0 = -1 + -3x + -1x2
3k + kx = -1 + -3x + -1x2

Reorder the terms:
1 + 3k + kx + 3x + x2 = -1 + -3x + -1x2 + 1 + 3x + x2

Reorder the terms:
1 + 3k + kx + 3x + x2 = -1 + 1 + -3x + 3x + -1x2 + x2

Combine like terms: -1 + 1 = 0
1 + 3k + kx + 3x + x2 = 0 + -3x + 3x + -1x2 + x2
1 + 3k + kx + 3x + x2 = -3x + 3x + -1x2 + x2

Combine like terms: -3x + 3x = 0
1 + 3k + kx + 3x + x2 = 0 + -1x2 + x2
1 + 3k + kx + 3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1 + 3k + kx + 3x + x2 = 0

The solution to this equation could not be determined.

See similar equations:

| 9x+4a=5x-9a | | 3x+8=-28-6x | | -3(3f-10)=-6 | | 4x+107=6x+145 | | 3+8x=-11x+x | | -8(6x-7)=5x+3 | | 9x-2-x=-2(1-9x)-(7x+12) | | a=0+-13 | | a=-1.7+-13 | | X-13.5=13.5 | | a=-2.5+-13 | | 5(ln(7x))=25 | | -16=-2.5+-13 | | -2n-3n+9=29 | | 0=ln(x+2)-4 | | -16=a+-13 | | 2x+5a=15x-3a | | -a-5b=20 | | 7(18-x)-6(3-5x)=(7x+9)-3(2x+5)-12 | | 8(x-5)=-2(x-1)-2 | | 0=-14x-2 | | 2a+2b-ab-4=0 | | y=-14x-2 | | 10h-20=50 | | y-3=0.25(x-8) | | 5(2c+3)-12(-6-c)=11(4c+7) | | -8x+4x=-12+9x | | sinx+cosx=.75 | | 18y+8=32 | | 11m+6n-2m+7n= | | 44y-11y=22 | | 20000=f(4) |

Equations solver categories