x^2-36x+25=0

Simple and best practice solution for x^2-36x+25=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^2-36x+25=0 equation: 


Simplifying
x2 + -36x + 25 = 0

Reorder the terms:
25 + -36x + x2 = 0

Solving
25 + -36x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -36x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -36x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -36x + x2 = 0 + -25
-36x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-36x + x2 = -25

The x term is -36x.  Take half its coefficient (-18).
Square it (324) and add it to both sides.

Add '324' to each side of the equation.
-36x + 324 + x2 = -25 + 324

Reorder the terms:
324 + -36x + x2 = -25 + 324

Combine like terms: -25 + 324 = 299
324 + -36x + x2 = 299

Factor a perfect square on the left side:
(x + -18)(x + -18) = 299

Calculate the square root of the right side: 17.291616466

Break this problem into two subproblems by setting 
(x + -18) equal to 17.291616466 and -17.291616466.


Subproblem 1
x + -18 = 17.291616466

Simplifying
x + -18 = 17.291616466

Reorder the terms:
-18 + x = 17.291616466

Solving
-18 + x = 17.291616466

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + x = 17.291616466 + 18

Combine like terms: -18 + 18 = 0
0 + x = 17.291616466 + 18
x = 17.291616466 + 18

Combine like terms: 17.291616466 + 18 = 35.291616466
x = 35.291616466

Simplifying
x = 35.291616466


Subproblem 2
x + -18 = -17.291616466

Simplifying
x + -18 = -17.291616466

Reorder the terms:
-18 + x = -17.291616466

Solving
-18 + x = -17.291616466

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + x = -17.291616466 + 18

Combine like terms: -18 + 18 = 0
0 + x = -17.291616466 + 18
x = -17.291616466 + 18

Combine like terms: -17.291616466 + 18 = 0.708383534
x = 0.708383534

Simplifying
x = 0.708383534


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {35.291616466, 0.708383534}

See similar equations:

| 4(2z-1)-3(z+4)=3(z+1) | | 3x^2-24x=27 | | 4(2z-1)-3(z+4)=4(z+1) | | -4x^2-6x+23=0 | | -4x^2+2x+23=0 | | x^2+8x+16=49 | | 64x^2-64=36 | | 5x-11x=30 | | y=2x^2+4x-30 | | x^2+12x+36=49 | | 5p+8=4p+12 | | a-2=5 | | 6(3z-1)-5(z+7)=2(z+1) | | x-7.7=-4.8 | | 6(3z-1)-5(z+7)=2(2+1) | | t+13=39 | | 14t+4(1-4t)= | | 2x-3(x+2)=-8 | | 2(x+3)+4x=3(x+1) | | 3x+22=50 | | 9x+4+3x+6= | | 4x-(4-x)=5x | | -7(m-5)= | | 4x^2-12x-11=0 | | 4x-3+x+5=-4x+3-8 | | 7(x+2)=70 | | x^4-17x^2+16=0 | | =41 | | 6x-8x=12 | | 7202=x+.054x(2) | | 8(x+3)=4(2x+9)-12 | | -8(q-6)= |

Equations solver categories