a^2-16a-7=0

Simple and best practice solution for a^2-16a-7=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^2-16a-7=0 equation:


Simplifying
a2 + -16a + -7 = 0

Reorder the terms:
-7 + -16a + a2 = 0

Solving
-7 + -16a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '7' to each side of the equation.
-7 + -16a + 7 + a2 = 0 + 7

Reorder the terms:
-7 + 7 + -16a + a2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -16a + a2 = 0 + 7
-16a + a2 = 0 + 7

Combine like terms: 0 + 7 = 7
-16a + a2 = 7

The a term is -16a.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16a + 64 + a2 = 7 + 64

Reorder the terms:
64 + -16a + a2 = 7 + 64

Combine like terms: 7 + 64 = 71
64 + -16a + a2 = 71

Factor a perfect square on the left side:
(a + -8)(a + -8) = 71

Calculate the square root of the right side: 8.426149773

Break this problem into two subproblems by setting 
(a + -8) equal to 8.426149773 and -8.426149773.


Subproblem 1
a + -8 = 8.426149773

Simplifying
a + -8 = 8.426149773

Reorder the terms:
-8 + a = 8.426149773

Solving
-8 + a = 8.426149773

Solving for variable 'a'.

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

Add '8' to each side of the equation.
-8 + 8 + a = 8.426149773 + 8

Combine like terms: -8 + 8 = 0
0 + a = 8.426149773 + 8
a = 8.426149773 + 8

Combine like terms: 8.426149773 + 8 = 16.426149773
a = 16.426149773

Simplifying
a = 16.426149773


Subproblem 2
a + -8 = -8.426149773

Simplifying
a + -8 = -8.426149773

Reorder the terms:
-8 + a = -8.426149773

Solving
-8 + a = -8.426149773

Solving for variable 'a'.

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

Add '8' to each side of the equation.
-8 + 8 + a = -8.426149773 + 8

Combine like terms: -8 + 8 = 0
0 + a = -8.426149773 + 8
a = -8.426149773 + 8

Combine like terms: -8.426149773 + 8 = -0.426149773
a = -0.426149773

Simplifying
a = -0.426149773


Solution
The solution to the problem is based on the solutions
from the subproblems.
a = {16.426149773, -0.426149773}

See similar equations:

| 2(w+3)=8 | | (3y-1)+(4y+7)= | | -80-10x=140 | | ln(2x+1)=3.25 | | 4u-26=-2(u+7) | | -10x-35+24x=6x+13 | | x+x+75+x-15=180 | | X+13x+42= | | 2lnx=ln(x+2) | | 205/x=5.54 | | 5(3x+2)-2=4(4x-3) | | (4/x^2) | | 23x+2y=-19 | | -3(-2x-2)=12 | | 2.6=3a | | 7b-10+69-3=83 | | y-42=180 | | 8(1+5)+5=12+5x | | 1-4lnx=lnx-9 | | 10f+8=11f+7 | | 6(y+1)=2y+18 | | 4m+10=36 | | 23+5x=111-3x | | 7(51)=10 | | -2(3-7)-4= | | x=11+7y | | 2b+b=7 | | 13+3x=3n-29 | | 3y-2=4(2y-3) | | 13+3x=-29-3n | | 2.6=0.2-4 | | -2a+(5a-3)-(3a+4)= |

Equations solver categories