q^2-24q-29=0

Simple and best practice solution for q^2-24q-29=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^2-24q-29=0 equation: 


Simplifying
q2 + -24q + -29 = 0

Reorder the terms:
-29 + -24q + q2 = 0

Solving
-29 + -24q + q2 = 0

Solving for variable 'q'.

Begin completing the square.

Move the constant term to the right:

Add '29' to each side of the equation.
-29 + -24q + 29 + q2 = 0 + 29

Reorder the terms:
-29 + 29 + -24q + q2 = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -24q + q2 = 0 + 29
-24q + q2 = 0 + 29

Combine like terms: 0 + 29 = 29
-24q + q2 = 29

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

Add '144' to each side of the equation.
-24q + 144 + q2 = 29 + 144

Reorder the terms:
144 + -24q + q2 = 29 + 144

Combine like terms: 29 + 144 = 173
144 + -24q + q2 = 173

Factor a perfect square on the left side:
(q + -12)(q + -12) = 173

Calculate the square root of the right side: 13.152946438

Break this problem into two subproblems by setting 
(q + -12) equal to 13.152946438 and -13.152946438.


Subproblem 1
q + -12 = 13.152946438

Simplifying
q + -12 = 13.152946438

Reorder the terms:
-12 + q = 13.152946438

Solving
-12 + q = 13.152946438

Solving for variable 'q'.

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

Add '12' to each side of the equation.
-12 + 12 + q = 13.152946438 + 12

Combine like terms: -12 + 12 = 0
0 + q = 13.152946438 + 12
q = 13.152946438 + 12

Combine like terms: 13.152946438 + 12 = 25.152946438
q = 25.152946438

Simplifying
q = 25.152946438


Subproblem 2
q + -12 = -13.152946438

Simplifying
q + -12 = -13.152946438

Reorder the terms:
-12 + q = -13.152946438

Solving
-12 + q = -13.152946438

Solving for variable 'q'.

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

Add '12' to each side of the equation.
-12 + 12 + q = -13.152946438 + 12

Combine like terms: -12 + 12 = 0
0 + q = -13.152946438 + 12
q = -13.152946438 + 12

Combine like terms: -13.152946438 + 12 = -1.152946438
q = -1.152946438

Simplifying
q = -1.152946438


Solution
The solution to the problem is based on the solutions
from the subproblems.
q = {25.152946438, -1.152946438}

See similar equations:

| 3b+4b(3-b)= | | 5(2x+4)-10=120+40 | | 88=2x(x+7) | | 9+3n=4n | | 44-4x=14-9x | | 5q+15+2q=-27 | | y=2v^2+7v-4 | | v=-i-2j | | 7(8b+8)=448 | | 6xyz-3xz-2yz=0 | | Y=300+0.50Y | | 7x^4y^2+35y^3z-28xz=0 | | 6m-3m=33 | | 8(8x+-7)=3 | | 5x-20=63 | | -2x^2-10x-3=0 | | 2x-12=x-5 | | 3m=12+(m+26) | | 4x+9x-21=18 | | 12x+93=189 | | 8x^2-392x=0 | | 2x^2-78=122 | | -6x^2-30x-23=0 | | -13.14u-13.91-6u=-18.1u+10.14 | | x+(x+1)+(x+2)=455 | | x=3*sin(x) | | 2x^2+5xy^3-28xy=0 | | 2u^2+15u+13=0 | | a=6+a | | 39x^2+9x=0 | | -y=2-4x | | 6x^4+19x^3-10x^2-5x+2=0 |

Equations solver categories