x^2-24x+100=0

Simple and best practice solution for x^2-24x+100=0 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^2-24x+100=0 equation: 


Simplifying
x2 + -24x + 100 = 0

Reorder the terms:
100 + -24x + x2 = 0

Solving
100 + -24x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-100' to each side of the equation.
100 + -24x + -100 + x2 = 0 + -100

Reorder the terms:
100 + -100 + -24x + x2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -24x + x2 = 0 + -100
-24x + x2 = 0 + -100

Combine like terms: 0 + -100 = -100
-24x + x2 = -100

The x term is -24x.  Take half its coefficient (-12).
Square it (144) and add it to both sides.

Add '144' to each side of the equation.
-24x + 144 + x2 = -100 + 144

Reorder the terms:
144 + -24x + x2 = -100 + 144

Combine like terms: -100 + 144 = 44
144 + -24x + x2 = 44

Factor a perfect square on the left side:
(x + -12)(x + -12) = 44

Calculate the square root of the right side: 6.633249581

Break this problem into two subproblems by setting 
(x + -12) equal to 6.633249581 and -6.633249581.


Subproblem 1
x + -12 = 6.633249581

Simplifying
x + -12 = 6.633249581

Reorder the terms:
-12 + x = 6.633249581

Solving
-12 + x = 6.633249581

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + x = 6.633249581 + 12

Combine like terms: -12 + 12 = 0
0 + x = 6.633249581 + 12
x = 6.633249581 + 12

Combine like terms: 6.633249581 + 12 = 18.633249581
x = 18.633249581

Simplifying
x = 18.633249581


Subproblem 2
x + -12 = -6.633249581

Simplifying
x + -12 = -6.633249581

Reorder the terms:
-12 + x = -6.633249581

Solving
-12 + x = -6.633249581

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + x = -6.633249581 + 12

Combine like terms: -12 + 12 = 0
0 + x = -6.633249581 + 12
x = -6.633249581 + 12

Combine like terms: -6.633249581 + 12 = 5.366750419
x = 5.366750419

Simplifying
x = 5.366750419


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {18.633249581, 5.366750419}

See similar equations:

| 14+P-P-6+P=5-2P-3-2P | | 5+4p=11 | | 8*6+5*6+12=90 | | 3x^2+23+30=0 | | (4n+8)3=72 | | -7n+10=-6n-18 | | 6x+3+4x-3=180 | | 3(X-2)-(X+1)4=7+2(X-1)-12 | | 1/2x^2-4x+6=0 | | -4(t+1)=20 | | 10y=3y+10+3y | | 7D-3(D-1)=-3D+3 | | 13+3(3x+8)=-3 | | 10n+6=86 | | 6k^2-43k+72=0 | | 2x^2-5+8= | | 1-(2Y+5)=4(Y-7)-6 | | x+2/3x=255 | | -8(2x-9)=20-12 | | 195-145= | | 41-13=4(x-7) | | 170+25= | | 48=2*w*4 | | -8x^2+50=0 | | 8x+15-(5x-2)= | | 2(3+2)=22 | | -2-2(N-3)-3N=21+3 | | (7x-6)(4x+9)=0 | | -15x-20=-13x+100 | | 8x+15-5x-2= | | -3u+4= | | -2-2(N-3)-3N=21+7 |

Equations solver categories