4x^2-20x+100=125

Simple and best practice solution for 4x^2-20x+100=125 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 4x^2-20x+100=125 equation: 


Simplifying
4x2 + -20x + 100 = 125

Reorder the terms:
100 + -20x + 4x2 = 125

Solving
100 + -20x + 4x2 = 125

Solving for variable 'x'.

Reorder the terms:
100 + -125 + -20x + 4x2 = 125 + -125

Combine like terms: 100 + -125 = -25
-25 + -20x + 4x2 = 125 + -125

Combine like terms: 125 + -125 = 0
-25 + -20x + 4x2 = 0

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

Divide each side by '4'.
-6.25 + -5x + x2 = 0

Move the constant term to the right:

Add '6.25' to each side of the equation.
-6.25 + -5x + 6.25 + x2 = 0 + 6.25

Reorder the terms:
-6.25 + 6.25 + -5x + x2 = 0 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
0.00 + -5x + x2 = 0 + 6.25
-5x + x2 = 0 + 6.25

Combine like terms: 0 + 6.25 = 6.25
-5x + x2 = 6.25

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = 6.25 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 6.25 + 6.25

Combine like terms: 6.25 + 6.25 = 12.5
6.25 + -5x + x2 = 12.5

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 12.5

Calculate the square root of the right side: 3.535533906

Break this problem into two subproblems by setting 
(x + -2.5) equal to 3.535533906 and -3.535533906.


Subproblem 1
x + -2.5 = 3.535533906

Simplifying
x + -2.5 = 3.535533906

Reorder the terms:
-2.5 + x = 3.535533906

Solving
-2.5 + x = 3.535533906

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = 3.535533906 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 3.535533906 + 2.5
x = 3.535533906 + 2.5

Combine like terms: 3.535533906 + 2.5 = 6.035533906
x = 6.035533906

Simplifying
x = 6.035533906


Subproblem 2
x + -2.5 = -3.535533906

Simplifying
x + -2.5 = -3.535533906

Reorder the terms:
-2.5 + x = -3.535533906

Solving
-2.5 + x = -3.535533906

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = -3.535533906 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -3.535533906 + 2.5
x = -3.535533906 + 2.5

Combine like terms: -3.535533906 + 2.5 = -1.035533906
x = -1.035533906

Simplifying
x = -1.035533906


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.035533906, -1.035533906}

See similar equations:

| 7=3x-y | | (9+5)+(3+-6)= | | 168=2p+n | | 57(x+23)=180 | | 4n-12=80 | | (x-8)+33=180 | | 2n+5=450 | | 66=3n | | -3-4(4x-3)=-87 | | (5+12)+(35-8)= | | 18s+72=222.5 | | 11d-3-7d=9 | | x+4x+3n-n= | | 15+3.50h=13+4.75h | | Y=xsquared+x-56 | | 7(x-15)=35(x+4) | | 1-3m=-4m-6 | | -2.8k=7 | | -3(y+8)=42 | | 6x^2-6x^2= | | x=64-15 | | -64=46 | | 1.5s-12-s=0.5 | | 4x+10=6x-15 | | 6(-4m+5)=-144 | | 3a-4a+7a= | | 3(x+1)=w(x+11) | | 11+59=-29 | | -73=-15+11x | | .333y+.25=.416 | | x=81-57 | | 2=(3x-15) |

Equations solver categories