y^2-36y+64=0

Simple and best practice solution for y^2-36y+64=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 y^2-36y+64=0 equation: 


Simplifying
y2 + -36y + 64 = 0

Reorder the terms:
64 + -36y + y2 = 0

Solving
64 + -36y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + -36y + -64 + y2 = 0 + -64

Reorder the terms:
64 + -64 + -36y + y2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -36y + y2 = 0 + -64
-36y + y2 = 0 + -64

Combine like terms: 0 + -64 = -64
-36y + y2 = -64

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

Add '324' to each side of the equation.
-36y + 324 + y2 = -64 + 324

Reorder the terms:
324 + -36y + y2 = -64 + 324

Combine like terms: -64 + 324 = 260
324 + -36y + y2 = 260

Factor a perfect square on the left side:
(y + -18)(y + -18) = 260

Calculate the square root of the right side: 16.124515497

Break this problem into two subproblems by setting 
(y + -18) equal to 16.124515497 and -16.124515497.


Subproblem 1
y + -18 = 16.124515497

Simplifying
y + -18 = 16.124515497

Reorder the terms:
-18 + y = 16.124515497

Solving
-18 + y = 16.124515497

Solving for variable 'y'.

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

Add '18' to each side of the equation.
-18 + 18 + y = 16.124515497 + 18

Combine like terms: -18 + 18 = 0
0 + y = 16.124515497 + 18
y = 16.124515497 + 18

Combine like terms: 16.124515497 + 18 = 34.124515497
y = 34.124515497

Simplifying
y = 34.124515497


Subproblem 2
y + -18 = -16.124515497

Simplifying
y + -18 = -16.124515497

Reorder the terms:
-18 + y = -16.124515497

Solving
-18 + y = -16.124515497

Solving for variable 'y'.

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

Add '18' to each side of the equation.
-18 + 18 + y = -16.124515497 + 18

Combine like terms: -18 + 18 = 0
0 + y = -16.124515497 + 18
y = -16.124515497 + 18

Combine like terms: -16.124515497 + 18 = 1.875484503
y = 1.875484503

Simplifying
y = 1.875484503


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {34.124515497, 1.875484503}

See similar equations:

| m^3-121m=0 | | y=-0.80(25)+136 | | 14+2k-22=k | | -5y+4y+16=-56 | | 6+2(1x+-5)=2x+-4 | | .28x+3=0.14 | | 20y-5=3(y-47) | | -6x+9=20-4x | | -3x+3=x-25 | | 2[3-3(x+1)]+1=2(-15-x)+2x+15 | | 20-2=205 | | v-7+8=19 | | 3x-50+2x-5=180 | | 9a^3b^2+12ab^2=0 | | 85+4=99 | | 30*x/30= | | -0.6(5x)=90 | | 1.8+n=15.72 | | 7x-5=4x-41 | | 2x+3x-8=22 | | 3*x/30= | | 25-8=12.5 | | 3.6x=5.4+3.3x | | 9+2.7x=-4.8x-6 | | -5+3x=x-25 | | 4(x+10)=20 | | 15(8c-1)-8=118c+15 | | i^4-1=0 | | 2x+15=3x-10 | | -0.75-3x=-9 | | 11x+5x=18 | | 3t-14=78 |

Equations solver categories