0.5x^2-0.8x+6.25=100

Simple and best practice solution for 0.5x^2-0.8x+6.25=100 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 0.5x^2-0.8x+6.25=100 equation: 


Simplifying
0.5x2 + -0.8x + 6.25 = 100

Reorder the terms:
6.25 + -0.8x + 0.5x2 = 100

Solving
6.25 + -0.8x + 0.5x2 = 100

Solving for variable 'x'.

Reorder the terms:
6.25 + -100 + -0.8x + 0.5x2 = 100 + -100

Combine like terms: 6.25 + -100 = -93.75
-93.75 + -0.8x + 0.5x2 = 100 + -100

Combine like terms: 100 + -100 = 0
-93.75 + -0.8x + 0.5x2 = 0

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

Divide each side by '0.5'.
-187.5 + -1.6x + x2 = 0

Move the constant term to the right:

Add '187.5' to each side of the equation.
-187.5 + -1.6x + 187.5 + x2 = 0 + 187.5

Reorder the terms:
-187.5 + 187.5 + -1.6x + x2 = 0 + 187.5

Combine like terms: -187.5 + 187.5 = 0.0
0.0 + -1.6x + x2 = 0 + 187.5
-1.6x + x2 = 0 + 187.5

Combine like terms: 0 + 187.5 = 187.5
-1.6x + x2 = 187.5

The x term is -1.6x.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6x + 0.64 + x2 = 187.5 + 0.64

Reorder the terms:
0.64 + -1.6x + x2 = 187.5 + 0.64

Combine like terms: 187.5 + 0.64 = 188.14
0.64 + -1.6x + x2 = 188.14

Factor a perfect square on the left side:
(x + -0.8)(x + -0.8) = 188.14

Calculate the square root of the right side: 13.716413525

Break this problem into two subproblems by setting 
(x + -0.8) equal to 13.716413525 and -13.716413525.


Subproblem 1
x + -0.8 = 13.716413525

Simplifying
x + -0.8 = 13.716413525

Reorder the terms:
-0.8 + x = 13.716413525

Solving
-0.8 + x = 13.716413525

Solving for variable 'x'.

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

Add '0.8' to each side of the equation.
-0.8 + 0.8 + x = 13.716413525 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + x = 13.716413525 + 0.8
x = 13.716413525 + 0.8

Combine like terms: 13.716413525 + 0.8 = 14.516413525
x = 14.516413525

Simplifying
x = 14.516413525


Subproblem 2
x + -0.8 = -13.716413525

Simplifying
x + -0.8 = -13.716413525

Reorder the terms:
-0.8 + x = -13.716413525

Solving
-0.8 + x = -13.716413525

Solving for variable 'x'.

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

Add '0.8' to each side of the equation.
-0.8 + 0.8 + x = -13.716413525 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + x = -13.716413525 + 0.8
x = -13.716413525 + 0.8

Combine like terms: -13.716413525 + 0.8 = -12.916413525
x = -12.916413525

Simplifying
x = -12.916413525


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {14.516413525, -12.916413525}

See similar equations:

| 25x+15y=326 | | 1/3x+1/2x-1/4x | | 0=-6n^2-12n-1 | | 15x+30y=313 | | 1/7x-9/14x=x-2/9 | | 8/5x-4=x+4/5 | | h=-16t+64t+4 | | x+0.35=0.675 | | x-0.08=1.38 | | 2.144+0.02x=3.1005 | | 0.06-0.3x=1.8 | | 8.8-2.5x=3.3 | | 0.05x=8.95 | | 2.4x=9.6 | | 0.03x=0.009 | | 42x^2+33x-27=0 | | 17(n+31)=357 | | (114+3)3=p | | 2+6(x-7)=1-9(x-6) | | 114/3-3=p | | 4x+3x+5x=237 | | 4.5p+40=112 | | -2(5n+5)=6 | | x^3=644 | | 15y-7=73-7 | | 6/a+4=8/7 | | 4(2c-1)-6=5c+2 | | (9+2x)5=6x+13 | | 7.8/b=3.46/9.4 | | 5t=3 | | -44-(-23)=x/2 | | 4(3p+10)-10=18 |

Equations solver categories