-x^2-8x+8=0

Simple and best practice solution for -x^2-8x+8=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^2-8x+8=0 equation:


Simplifying
-1x2 + -8x + 8 = 0

Reorder the terms:
8 + -8x + -1x2 = 0

Solving
8 + -8x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-8 + 8x + x2 = 0

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + 8x + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + 8x + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 8x + x2 = 0 + 8
8x + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
8x + x2 = 8

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

Add '16' to each side of the equation.
8x + 16 + x2 = 8 + 16

Reorder the terms:
16 + 8x + x2 = 8 + 16

Combine like terms: 8 + 16 = 24
16 + 8x + x2 = 24

Factor a perfect square on the left side:
(x + 4)(x + 4) = 24

Calculate the square root of the right side: 4.898979486

Break this problem into two subproblems by setting 
(x + 4) equal to 4.898979486 and -4.898979486.

Subproblem 1

x + 4 = 4.898979486 Simplifying x + 4 = 4.898979486 Reorder the terms: 4 + x = 4.898979486 Solving 4 + x = 4.898979486 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 4.898979486 + -4 Combine like terms: 4 + -4 = 0 0 + x = 4.898979486 + -4 x = 4.898979486 + -4 Combine like terms: 4.898979486 + -4 = 0.898979486 x = 0.898979486 Simplifying x = 0.898979486

Subproblem 2

x + 4 = -4.898979486 Simplifying x + 4 = -4.898979486 Reorder the terms: 4 + x = -4.898979486 Solving 4 + x = -4.898979486 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = -4.898979486 + -4 Combine like terms: 4 + -4 = 0 0 + x = -4.898979486 + -4 x = -4.898979486 + -4 Combine like terms: -4.898979486 + -4 = -8.898979486 x = -8.898979486 Simplifying x = -8.898979486

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.898979486, -8.898979486}

See similar equations:

| 0.4x+3.9+3.5x=5.78 | | 11x+7y+8x-9x+y-2x= | | 25a+10= | | x^2-10x+28=4 | | y=sqrt(x+1) | | x^2-15x+29=-3x+2 | | 7x-9w+3x+9y+4y+5w= | | 6x+4=-2x+12 | | r+11+8r=29 | | 30x+17=15x+197 | | 4(3+5x)=16x-56-4(2x-1) | | 26x-12=14x+72 | | (k-1)x^2+(k+4)x+(k+7)=0 | | 6x-2x+4=12 | | 11a+7d-7a-5d+1= | | 5(p+10)=4(p-10-p) | | 3x-(-4)=20 | | -2y+(-1)=-3y+(-2) | | 3y=-5x-30 | | log(x+14)=log(x)+log(14) | | 8x-5w+3x+7y+2y+2w= | | 9x+3y+4y+9y+x= | | 4x+3y-2z=-4 | | 0=ln(4-x)+1 | | -14x-20=-12x-120 | | (X-3)(x-18)=0 | | 6s+5(40.79)=5s+6(40.79) | | 13y+5x=51 | | n=5p+5q | | 125=196-y | | 69=-v+231 | | 5x(x+8)-2(x+8)=0 |

Equations solver categories