x^2-24x+12=0

Simple and best practice solution for x^2-24x+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^2-24x+12=0 equation:


Simplifying
x2 + -24x + 12 = 0

Reorder the terms:
12 + -24x + x2 = 0

Solving
12 + -24x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -24x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -24x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -24x + x2 = 0 + -12
-24x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-24x + x2 = -12

The x term is -24x.  Take half its coefficient (-12).
Square it (144) and add it to both sides.

Add '144' to each side of the equation.
-24x + 144 + x2 = -12 + 144

Reorder the terms:
144 + -24x + x2 = -12 + 144

Combine like terms: -12 + 144 = 132
144 + -24x + x2 = 132

Factor a perfect square on the left side:
(x + -12)(x + -12) = 132

Calculate the square root of the right side: 11.489125293

Break this problem into two subproblems by setting 
(x + -12) equal to 11.489125293 and -11.489125293.

Subproblem 1

x + -12 = 11.489125293 Simplifying x + -12 = 11.489125293 Reorder the terms: -12 + x = 11.489125293 Solving -12 + x = 11.489125293 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 11.489125293 + 12 Combine like terms: -12 + 12 = 0 0 + x = 11.489125293 + 12 x = 11.489125293 + 12 Combine like terms: 11.489125293 + 12 = 23.489125293 x = 23.489125293 Simplifying x = 23.489125293

Subproblem 2

x + -12 = -11.489125293 Simplifying x + -12 = -11.489125293 Reorder the terms: -12 + x = -11.489125293 Solving -12 + x = -11.489125293 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = -11.489125293 + 12 Combine like terms: -12 + 12 = 0 0 + x = -11.489125293 + 12 x = -11.489125293 + 12 Combine like terms: -11.489125293 + 12 = 0.510874707 x = 0.510874707 Simplifying x = 0.510874707

Solution

The solution to the problem is based on the solutions from the subproblems. x = {23.489125293, 0.510874707}

See similar equations:

| 3(x-1)+2(x+6)=19 | | 5=2y-3/7 | | x+(x+2)/2 | | x^2+14x-8051=0 | | 3t-15+2t+10+3s+4=360 | | 3t-15=3s | | F+2=g | | -x+4-3x=-2+x+7x+13 | | 12p=132 | | x(n-1)(n-2)=0 | | 5p-9=15-p | | 4y-5=2y+4 | | 3x+2-5x=9x+6x-5 | | 6-25+4(4)= | | (6-5)5+(4*2)2= | | 100/0.8 | | 192=111-y | | x=1.2x | | 4/3=2z/15 | | 1/4-(1/16+1/12) | | 2x=268 | | (14/16)=(x/45) | | 1 - ( 1 + 1 ) = ( 1 - 7 ) | | X+35=7 | | 5x/6-1=x/3-3/4 | | 5x/6-1=x/-3/4 | | 1/15+1/20 | | 5(x+2)=4x+6 | | -10x+5= | | 4r+3s=25 | | 15/6-8-9 | | 35/4=x |

Equations solver categories