-x^2-8x+12=0

Simple and best practice solution for -x^2-8x+12=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+12=0 equation:


Simplifying
-1x2 + -8x + 12 = 0

Reorder the terms:
12 + -8x + -1x2 = 0

Solving
12 + -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'.
-12 + 8x + x2 = 0

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + 8x + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + 8x + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 8x + x2 = 0 + 12
8x + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
8x + x2 = 12

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 = 12 + 16

Reorder the terms:
16 + 8x + x2 = 12 + 16

Combine like terms: 12 + 16 = 28
16 + 8x + x2 = 28

Factor a perfect square on the left side:
(x + 4)(x + 4) = 28

Calculate the square root of the right side: 5.291502622

Break this problem into two subproblems by setting 
(x + 4) equal to 5.291502622 and -5.291502622.

Subproblem 1

x + 4 = 5.291502622 Simplifying x + 4 = 5.291502622 Reorder the terms: 4 + x = 5.291502622 Solving 4 + x = 5.291502622 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 = 5.291502622 + -4 Combine like terms: 4 + -4 = 0 0 + x = 5.291502622 + -4 x = 5.291502622 + -4 Combine like terms: 5.291502622 + -4 = 1.291502622 x = 1.291502622 Simplifying x = 1.291502622

Subproblem 2

x + 4 = -5.291502622 Simplifying x + 4 = -5.291502622 Reorder the terms: 4 + x = -5.291502622 Solving 4 + x = -5.291502622 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 = -5.291502622 + -4 Combine like terms: 4 + -4 = 0 0 + x = -5.291502622 + -4 x = -5.291502622 + -4 Combine like terms: -5.291502622 + -4 = -9.291502622 x = -9.291502622 Simplifying x = -9.291502622

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.291502622, -9.291502622}

See similar equations:

| cosx=0.19 | | 1=200n-400 | | -7(x+4)-42=5-12 | | y-23=42 | | 7w-10w=21 | | 4y+20-y+16=2y-20 | | 2(2u+3)=-7 | | 4a-8=-30 | | 3v-9=27 | | 17x-8=6x-8 | | 3(4t+1)-13=t-(t+9) | | 1000=200n-400 | | 24x^2+36x-45=0 | | 2x-4x-1=0 | | x-2x+3=7 | | 15-7x=0 | | 18-10x=0 | | -3/4x=-6/7 | | 6v^2+11v-6=0 | | (x-3)(-x^2+3x+10)=(5-x)(x^2-x-6) | | 8t-13t= | | y+1=3y+4 | | 2(x+y)(x-3y)= | | 8x^2+12x-15=0 | | 8x^2+12-15=0 | | x^2+y^2+2(2y-x)+5=0 | | 3x-xsq= | | 12x^2-400x+2500=0 | | x(5-x)+4(x*x+1)= | | 6y+15=51 | | 12d-6d-4d-2d= | | 5-[x+6-(3-x)]-10x=6x-[(3x+2)-x]-17x |

Equations solver categories