x^2+6x-64=0

Simple and best practice solution for x^2+6x-64=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+6x-64=0 equation:


Simplifying
x2 + 6x + -64 = 0

Reorder the terms:
-64 + 6x + x2 = 0

Solving
-64 + 6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '64' to each side of the equation.
-64 + 6x + 64 + x2 = 0 + 64

Reorder the terms:
-64 + 64 + 6x + x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 6x + x2 = 0 + 64
6x + x2 = 0 + 64

Combine like terms: 0 + 64 = 64
6x + x2 = 64

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = 64 + 9

Reorder the terms:
9 + 6x + x2 = 64 + 9

Combine like terms: 64 + 9 = 73
9 + 6x + x2 = 73

Factor a perfect square on the left side:
(x + 3)(x + 3) = 73

Calculate the square root of the right side: 8.544003745

Break this problem into two subproblems by setting 
(x + 3) equal to 8.544003745 and -8.544003745.

Subproblem 1

x + 3 = 8.544003745 Simplifying x + 3 = 8.544003745 Reorder the terms: 3 + x = 8.544003745 Solving 3 + x = 8.544003745 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 8.544003745 + -3 Combine like terms: 3 + -3 = 0 0 + x = 8.544003745 + -3 x = 8.544003745 + -3 Combine like terms: 8.544003745 + -3 = 5.544003745 x = 5.544003745 Simplifying x = 5.544003745

Subproblem 2

x + 3 = -8.544003745 Simplifying x + 3 = -8.544003745 Reorder the terms: 3 + x = -8.544003745 Solving 3 + x = -8.544003745 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -8.544003745 + -3 Combine like terms: 3 + -3 = 0 0 + x = -8.544003745 + -3 x = -8.544003745 + -3 Combine like terms: -8.544003745 + -3 = -11.544003745 x = -11.544003745 Simplifying x = -11.544003745

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.544003745, -11.544003745}

See similar equations:

| 0.17x+0.005(16-x)=0.11(16) | | 9x+4=6x+9 | | -(14-2b)= | | 4x+3y=36 | | -11.2x=8.96 | | 113-4x=23x+23 | | 4x-8=-3x+7 | | -15+x=x-15 | | 3(x+4)-x=2(x+6) | | 60x+30Y=600 | | -47=25+6x | | 6x+10x=80 | | 6(2x-2)=24 | | -4x+2=-4 | | y^2-15y+60=0 | | 8400-n=840 | | 9x^2-80x+50=0 | | -4+2=-4 | | 4x+9+2(x-12)=15 | | 5x-36=72+9x | | a-6=-18 | | x+13=31 | | 38-6x=12x+18 | | 9c=2d-c | | -30+x=x+21 | | 2d-c=4c+d | | 2x+11=8x+15 | | 13-10x=68-45x | | 4p-16=-4+p | | 8x^2-36x-20=0 | | 2x+11=8x++15 | | 4x+7x=66 |

Equations solver categories