a^2-8a-40=0

Simple and best practice solution for a^2-8a-40=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 a^2-8a-40=0 equation: 


Simplifying
a2 + -8a + -40 = 0

Reorder the terms:
-40 + -8a + a2 = 0

Solving
-40 + -8a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '40' to each side of the equation.
-40 + -8a + 40 + a2 = 0 + 40

Reorder the terms:
-40 + 40 + -8a + a2 = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -8a + a2 = 0 + 40
-8a + a2 = 0 + 40

Combine like terms: 0 + 40 = 40
-8a + a2 = 40

The a term is -8a.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8a + 16 + a2 = 40 + 16

Reorder the terms:
16 + -8a + a2 = 40 + 16

Combine like terms: 40 + 16 = 56
16 + -8a + a2 = 56

Factor a perfect square on the left side:
(a + -4)(a + -4) = 56

Calculate the square root of the right side: 7.483314774

Break this problem into two subproblems by setting 
(a + -4) equal to 7.483314774 and -7.483314774.


Subproblem 1
a + -4 = 7.483314774

Simplifying
a + -4 = 7.483314774

Reorder the terms:
-4 + a = 7.483314774

Solving
-4 + a = 7.483314774

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 4 + a = 7.483314774 + 4

Combine like terms: -4 + 4 = 0
0 + a = 7.483314774 + 4
a = 7.483314774 + 4

Combine like terms: 7.483314774 + 4 = 11.483314774
a = 11.483314774

Simplifying
a = 11.483314774


Subproblem 2
a + -4 = -7.483314774

Simplifying
a + -4 = -7.483314774

Reorder the terms:
-4 + a = -7.483314774

Solving
-4 + a = -7.483314774

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 4 + a = -7.483314774 + 4

Combine like terms: -4 + 4 = 0
0 + a = -7.483314774 + 4
a = -7.483314774 + 4

Combine like terms: -7.483314774 + 4 = -3.483314774
a = -3.483314774

Simplifying
a = -3.483314774


Solution
The solution to the problem is based on the solutions
from the subproblems.
a = {11.483314774, -3.483314774}

See similar equations:

| 102=12-10x | | X+(x*0.081)=3.38 | | -54n^8/6n^4 | | 3x+4x=3-21 | | 3x+4x=3-2 | | 160/5[(5-3)^3-(8)]-2^3 | | 4v^2-25v+25=0 | | logx+log(x-2)=log(x-4) | | 2j-4+5j-5=4j+6 | | -(2y+3)-4y=-3 | | n^2-2n-29=0 | | 2(m+5)=-10 | | 45b^2+180b+100=0 | | k^2+10k-5=0 | | 1+5x=-2-2 | | -6.2*-6.2= | | 30+5y=65 | | x/x+3=-2/7 | | 4x^2+px+4=0 | | 30=65-5y | | (3y+1)(5y+2)=0 | | 2(2+5x)=14 | | F(x)=4x^3+5x^2-5 | | =(3+2i)(4-3i) | | m+(50+m)+3(50+m)=1,000 | | -7x+8+5x=-6 | | 4.5-0.08= | | -9=x+7x+7 | | -0+y-6=0 | | -0.32+0.4= | | x-2-5x=-6 | | 14b^2+142b+144=0 |

Equations solver categories