q^2-14q+36=0

Simple and best practice solution for q^2-14q+36=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 q^2-14q+36=0 equation:


Simplifying
q2 + -14q + 36 = 0

Reorder the terms:
36 + -14q + q2 = 0

Solving
36 + -14q + q2 = 0

Solving for variable 'q'.

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -14q + -36 + q2 = 0 + -36

Reorder the terms:
36 + -36 + -14q + q2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -14q + q2 = 0 + -36
-14q + q2 = 0 + -36

Combine like terms: 0 + -36 = -36
-14q + q2 = -36

The q term is -14q.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14q + 49 + q2 = -36 + 49

Reorder the terms:
49 + -14q + q2 = -36 + 49

Combine like terms: -36 + 49 = 13
49 + -14q + q2 = 13

Factor a perfect square on the left side:
(q + -7)(q + -7) = 13

Calculate the square root of the right side: 3.605551275

Break this problem into two subproblems by setting 
(q + -7) equal to 3.605551275 and -3.605551275.


Subproblem 1
q + -7 = 3.605551275

Simplifying
q + -7 = 3.605551275

Reorder the terms:
-7 + q = 3.605551275

Solving
-7 + q = 3.605551275

Solving for variable 'q'.

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

Add '7' to each side of the equation.
-7 + 7 + q = 3.605551275 + 7

Combine like terms: -7 + 7 = 0
0 + q = 3.605551275 + 7
q = 3.605551275 + 7

Combine like terms: 3.605551275 + 7 = 10.605551275
q = 10.605551275

Simplifying
q = 10.605551275


Subproblem 2
q + -7 = -3.605551275

Simplifying
q + -7 = -3.605551275

Reorder the terms:
-7 + q = -3.605551275

Solving
-7 + q = -3.605551275

Solving for variable 'q'.

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

Add '7' to each side of the equation.
-7 + 7 + q = -3.605551275 + 7

Combine like terms: -7 + 7 = 0
0 + q = -3.605551275 + 7
q = -3.605551275 + 7

Combine like terms: -3.605551275 + 7 = 3.394448725
q = 3.394448725

Simplifying
q = 3.394448725


Solution
The solution to the problem is based on the solutions
from the subproblems.
q = {10.605551275, 3.394448725}

See similar equations:

| 2x^3-8x^2-63x+22=0 | | t/6-1=14 | | 24d-12d=90+90 | | 0.2x+4.6=0.1x+2.9 | | 6v^2=-10v | | 9cos(2x)= | | d/7-3=11 | | y=2lx+3l | | 8+4x=2x+3 | | x-3+3= | | 4x+2(-2-11)=-36 | | 8(x-1)+3(x+8)=2(x+5) | | 9b^2-6b=8 | | (f-32).555=4 | | 3x+8+35=180 | | 15m^2+40=49m | | 3k-7/5=5 | | -27.25=x+2.25 | | 6/7g | | 7x=149 | | (j-5)-3=-18 | | 8x-4=2x+3 | | 7m-14=49 | | -4/9j=16/27 | | 2a/9-a/2=-10/3 | | 3m^2-13m=-12 | | 3(2X+3)-2(X-3)=7(X+4)-20 | | 4/9j=16/27 | | 10-(3y-1)=8-4y | | -21+-7t=8t+24 | | 7a^2-20a+12=0 | | ctg^2(x+y)-x^2=1 |

Equations solver categories