x^2-16x-29=0

Simple and best practice solution for x^2-16x-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 x^2-16x-29=0 equation: 


Simplifying
x2 + -16x + -29 = 0

Reorder the terms:
-29 + -16x + x2 = 0

Solving
-29 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '29' to each side of the equation.
-29 + -16x + 29 + x2 = 0 + 29

Reorder the terms:
-29 + 29 + -16x + x2 = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -16x + x2 = 0 + 29
-16x + x2 = 0 + 29

Combine like terms: 0 + 29 = 29
-16x + x2 = 29

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

Add '64' to each side of the equation.
-16x + 64 + x2 = 29 + 64

Reorder the terms:
64 + -16x + x2 = 29 + 64

Combine like terms: 29 + 64 = 93
64 + -16x + x2 = 93

Factor a perfect square on the left side:
(x + -8)(x + -8) = 93

Calculate the square root of the right side: 9.643650761

Break this problem into two subproblems by setting 
(x + -8) equal to 9.643650761 and -9.643650761.


Subproblem 1
x + -8 = 9.643650761

Simplifying
x + -8 = 9.643650761

Reorder the terms:
-8 + x = 9.643650761

Solving
-8 + x = 9.643650761

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x = 9.643650761 + 8

Combine like terms: -8 + 8 = 0
0 + x = 9.643650761 + 8
x = 9.643650761 + 8

Combine like terms: 9.643650761 + 8 = 17.643650761
x = 17.643650761

Simplifying
x = 17.643650761


Subproblem 2
x + -8 = -9.643650761

Simplifying
x + -8 = -9.643650761

Reorder the terms:
-8 + x = -9.643650761

Solving
-8 + x = -9.643650761

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x = -9.643650761 + 8

Combine like terms: -8 + 8 = 0
0 + x = -9.643650761 + 8
x = -9.643650761 + 8

Combine like terms: -9.643650761 + 8 = -1.643650761
x = -1.643650761

Simplifying
x = -1.643650761


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {17.643650761, -1.643650761}

See similar equations:

| (11b-8)-5(2b+4)=-6 | | 9m=7 | | 8x+6x+3+9=9x+5+4x | | 2y^2+2y+2=14 | | x^2+5x-6=2x+4 | | 15x+15y=8xy | | -9(v+4)+3v+5=5v+12 | | 7p+8=16+6p | | S(t)=-16t^2+64t+80 | | C(x)=5x^2-30x+81 | | 18w-(16w)= | | 8(4x+4)-4-6= | | 3x^2+-29x+40=0 | | m(p+2)=n | | 5[x-(4x-5)]=3-2x | | 9m^2-36m=0 | | 0.30x+0.30(30)=0.15(84) | | 2z^2+11z+12=0 | | 9x^2-57xy-42y^2=0 | | 5-21y+4y^2=0 | | -6x^2+47x+8=0 | | 27x^2-342x-72=0 | | 3v^2=8v+3 | | 0.04x-0.2=0.07 | | 3b^2-8b+5=0 | | 6(5s-11)-12(2s+5)=0 | | 5x+y+7=0 | | 6y+5-1=0 | | 5x-1-7=0 | | (X-5)(x^2+3x-4)=0 | | 2x+7=42 | | 6x-y-4=0 |

Equations solver categories