5x+6x=6x^2-6x+29

Simple and best practice solution for 5x+6x=6x^2-6x+29 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 5x+6x=6x^2-6x+29 equation:


Simplifying
5x + 6x = 6x2 + -6x + 29

Combine like terms: 5x + 6x = 11x
11x = 6x2 + -6x + 29

Reorder the terms:
11x = 29 + -6x + 6x2

Solving
11x = 29 + -6x + 6x2

Solving for variable 'x'.

Reorder the terms:
-29 + 11x + 6x + -6x2 = 29 + -6x + 6x2 + -29 + 6x + -6x2

Combine like terms: 11x + 6x = 17x
-29 + 17x + -6x2 = 29 + -6x + 6x2 + -29 + 6x + -6x2

Reorder the terms:
-29 + 17x + -6x2 = 29 + -29 + -6x + 6x + 6x2 + -6x2

Combine like terms: 29 + -29 = 0
-29 + 17x + -6x2 = 0 + -6x + 6x + 6x2 + -6x2
-29 + 17x + -6x2 = -6x + 6x + 6x2 + -6x2

Combine like terms: -6x + 6x = 0
-29 + 17x + -6x2 = 0 + 6x2 + -6x2
-29 + 17x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-29 + 17x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
4.833333333 + -2.833333333x + x2 = 0

Move the constant term to the right:

Add '-4.833333333' to each side of the equation.
4.833333333 + -2.833333333x + -4.833333333 + x2 = 0 + -4.833333333

Reorder the terms:
4.833333333 + -4.833333333 + -2.833333333x + x2 = 0 + -4.833333333

Combine like terms: 4.833333333 + -4.833333333 = 0.000000000
0.000000000 + -2.833333333x + x2 = 0 + -4.833333333
-2.833333333x + x2 = 0 + -4.833333333

Combine like terms: 0 + -4.833333333 = -4.833333333
-2.833333333x + x2 = -4.833333333

The x term is -2.833333333x.  Take half its coefficient (-1.416666667).
Square it (2.006944445) and add it to both sides.

Add '2.006944445' to each side of the equation.
-2.833333333x + 2.006944445 + x2 = -4.833333333 + 2.006944445

Reorder the terms:
2.006944445 + -2.833333333x + x2 = -4.833333333 + 2.006944445

Combine like terms: -4.833333333 + 2.006944445 = -2.826388888
2.006944445 + -2.833333333x + x2 = -2.826388888

Factor a perfect square on the left side:
(x + -1.416666667)(x + -1.416666667) = -2.826388888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 9.00+0.90x=54.00 | | 0+3y=6 | | -3.2x=48.96 | | -67=6x-11 | | 5(4x-16)=30(x-4) | | -3.2=48.96 | | -7t+4t^2=8 | | .25(5x+2)-.20(x+3)=2 | | 15=5(x+3) | | 12(3x+3)-7(2x-6)=2x-62 | | -2+9+(-2)= | | -0.08x^2+1.6x-1.5=0 | | (x/2)+1=x-1/3 | | 8.5=16-5n | | 2a+4-a+10= | | (8+6i)(8-5i)= | | (6x+22)+(x+18)=180 | | x/2+1=x-1/3 | | 19=7+.5x | | 3(-x+4)=12 | | 53.90+0.27x=100 | | 1.6a=-6 | | 112-6x=12x+16 | | (16+x)2=x-15 | | -3p+7=6-(9p+4) | | .4x-.7y=3 | | 5(7y-3)-2(4-3y)=27 | | 26.95+0.27x=100 | | (16+x)2=15-x | | 7x^2-52x+21= | | 2/1+x=3 | | 6bx+3y=5bx-5y |

Equations solver categories