3x^2+6x=2x-13

Simple and best practice solution for 3x^2+6x=2x-13 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 3x^2+6x=2x-13 equation:


Simplifying
3x2 + 6x = 2x + -13

Reorder the terms:
6x + 3x2 = 2x + -13

Reorder the terms:
6x + 3x2 = -13 + 2x

Solving
6x + 3x2 = -13 + 2x

Solving for variable 'x'.

Reorder the terms:
13 + 6x + -2x + 3x2 = -13 + 2x + 13 + -2x

Combine like terms: 6x + -2x = 4x
13 + 4x + 3x2 = -13 + 2x + 13 + -2x

Reorder the terms:
13 + 4x + 3x2 = -13 + 13 + 2x + -2x

Combine like terms: -13 + 13 = 0
13 + 4x + 3x2 = 0 + 2x + -2x
13 + 4x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
13 + 4x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
4.333333333 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-4.333333333' to each side of the equation.
4.333333333 + 1.333333333x + -4.333333333 + x2 = 0 + -4.333333333

Reorder the terms:
4.333333333 + -4.333333333 + 1.333333333x + x2 = 0 + -4.333333333

Combine like terms: 4.333333333 + -4.333333333 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -4.333333333
1.333333333x + x2 = 0 + -4.333333333

Combine like terms: 0 + -4.333333333 = -4.333333333
1.333333333x + x2 = -4.333333333

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = -4.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -4.333333333 + 0.4444444442

Combine like terms: -4.333333333 + 0.4444444442 = -3.8888888888
0.4444444442 + 1.333333333x + x2 = -3.8888888888

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -3.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4+x^2=7x | | 7(t-6)+8t=5(3t+5)-13 | | 3x^2+3x+7=0 | | (x+1)(4x^2+7x+6)= | | (8x^2+6x+8)(6x-5)= | | (x^3+3x+3)(x^2-x-1)= | | (7x^3-4x^2+3x+7)(8x+7)= | | (2x^2+6x+6)(3x-2)= | | -(3y+3)-(-2y-8)=3 | | z^2-5z+4=0 | | (4x^2+4x+6)(7x+5)= | | (x^3+8)(x^2+5x)= | | (x^2+3x+5)(4x^2+3)= | | 8v=128 | | x^2+4xy+3y^2= | | (8x^2+3x-1)(x^2-4x+9)= | | t^2-tz-6z^2= | | 7ab+5ba= | | (t+15)+45=(t-6)+18 | | v^2+3v-28= | | 50y-525=750 | | R^2+3ra+2a^2= | | (x^2+22)=16 | | 5x+4y=-3 | | 2350=2000+0.05s | | 8k^2+k-11=0 | | (3x^2-6x-3)(7x+8)= | | 8+6x+x^2= | | 9(9)= | | X-6.2=10.2 | | 4z^2+20z-az-5a= | | w^3-3w^2-10w= |

Equations solver categories