x^2+6.5x=63.9

Simple and best practice solution for x^2+6.5x=63.9 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+6.5x=63.9 equation: 


Simplifying
x2 + 6.5x = 63.9

Reorder the terms:
6.5x + x2 = 63.9

Solving
6.5x + x2 = 63.9

Solving for variable 'x'.

Reorder the terms:
-63.9 + 6.5x + x2 = 63.9 + -63.9

Combine like terms: 63.9 + -63.9 = 0.0
-63.9 + 6.5x + x2 = 0.0

Begin completing the square.

Move the constant term to the right:

Add '63.9' to each side of the equation.
-63.9 + 6.5x + 63.9 + x2 = 0.0 + 63.9

Reorder the terms:
-63.9 + 63.9 + 6.5x + x2 = 0.0 + 63.9

Combine like terms: -63.9 + 63.9 = 0.0
0.0 + 6.5x + x2 = 0.0 + 63.9
6.5x + x2 = 0.0 + 63.9

Combine like terms: 0.0 + 63.9 = 63.9
6.5x + x2 = 63.9

The x term is 6.5x.  Take half its coefficient (3.25).
Square it (10.5625) and add it to both sides.

Add '10.5625' to each side of the equation.
6.5x + 10.5625 + x2 = 63.9 + 10.5625

Reorder the terms:
10.5625 + 6.5x + x2 = 63.9 + 10.5625

Combine like terms: 63.9 + 10.5625 = 74.4625
10.5625 + 6.5x + x2 = 74.4625

Factor a perfect square on the left side:
(x + 3.25)(x + 3.25) = 74.4625

Calculate the square root of the right side: 8.629165661

Break this problem into two subproblems by setting 
(x + 3.25) equal to 8.629165661 and -8.629165661.


Subproblem 1
x + 3.25 = 8.629165661

Simplifying
x + 3.25 = 8.629165661

Reorder the terms:
3.25 + x = 8.629165661

Solving
3.25 + x = 8.629165661

Solving for variable 'x'.

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

Add '-3.25' to each side of the equation.
3.25 + -3.25 + x = 8.629165661 + -3.25

Combine like terms: 3.25 + -3.25 = 0.00
0.00 + x = 8.629165661 + -3.25
x = 8.629165661 + -3.25

Combine like terms: 8.629165661 + -3.25 = 5.379165661
x = 5.379165661

Simplifying
x = 5.379165661


Subproblem 2
x + 3.25 = -8.629165661

Simplifying
x + 3.25 = -8.629165661

Reorder the terms:
3.25 + x = -8.629165661

Solving
3.25 + x = -8.629165661

Solving for variable 'x'.

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

Add '-3.25' to each side of the equation.
3.25 + -3.25 + x = -8.629165661 + -3.25

Combine like terms: 3.25 + -3.25 = 0.00
0.00 + x = -8.629165661 + -3.25
x = -8.629165661 + -3.25

Combine like terms: -8.629165661 + -3.25 = -11.879165661
x = -11.879165661

Simplifying
x = -11.879165661


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.379165661, -11.879165661}

See similar equations:

| -7a+1=22 | | m=6h-4 | | -6q+6(2+-8q)= | | sin(2x)= | | 3a^2+2a=16 | | 40-4x=5x+16 | | j-2-4j=3j-9+5 | | X-(-8)=-6 | | 6x+9=-6x-3 | | 6x+10+3x+40=180 | | (x+4.2)(2x)=24.5 | | 2/3123/4= | | 3r-26=5 | | (30x-5y+13)-(-25x+12y-3)= | | -3a+9=3-9 | | 85=5y+10 | | 8b-(4b)b=5 | | 5(n-3)=-35 | | 7(x-.5)+2=3x-.25 | | 40(2)=48x | | 4(6+7x)=4(4x+1) | | 3x+y=23500 | | 9m+2.18=4.70 | | 8(5m)+2(3m)= | | 12x-18+4=34 | | -2(h-15)=0 | | -3+x^5=-1 | | 5x-3-x=-39 | | y=0.5-7 | | 4x=4x-7 | | (n+9)-(2-2n)= | | 0.2-0.6+0.5c=5 |

Equations solver categories