24x+8=x^2

Simple and best practice solution for 24x+8=x^2 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 24x+8=x^2 equation:


Simplifying
24x + 8 = x2

Reorder the terms:
8 + 24x = x2

Solving
8 + 24x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
8 + 24x + -1x2 = 0

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

Divide each side by '-1'.
-8 + -24x + x2 = 0

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + -24x + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + -24x + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -24x + x2 = 0 + 8
-24x + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
-24x + x2 = 8

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 = 8 + 144

Reorder the terms:
144 + -24x + x2 = 8 + 144

Combine like terms: 8 + 144 = 152
144 + -24x + x2 = 152

Factor a perfect square on the left side:
(x + -12)(x + -12) = 152

Calculate the square root of the right side: 12.328828006

Break this problem into two subproblems by setting 
(x + -12) equal to 12.328828006 and -12.328828006.

Subproblem 1

x + -12 = 12.328828006 Simplifying x + -12 = 12.328828006 Reorder the terms: -12 + x = 12.328828006 Solving -12 + x = 12.328828006 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 = 12.328828006 + 12 Combine like terms: -12 + 12 = 0 0 + x = 12.328828006 + 12 x = 12.328828006 + 12 Combine like terms: 12.328828006 + 12 = 24.328828006 x = 24.328828006 Simplifying x = 24.328828006

Subproblem 2

x + -12 = -12.328828006 Simplifying x + -12 = -12.328828006 Reorder the terms: -12 + x = -12.328828006 Solving -12 + x = -12.328828006 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 = -12.328828006 + 12 Combine like terms: -12 + 12 = 0 0 + x = -12.328828006 + 12 x = -12.328828006 + 12 Combine like terms: -12.328828006 + 12 = -0.328828006 x = -0.328828006 Simplifying x = -0.328828006

Solution

The solution to the problem is based on the solutions from the subproblems. x = {24.328828006, -0.328828006}

See similar equations:

| 6+10m=4m | | 4.3=7.9-0.4x | | 12x+-18x=18 | | 5x+7((x*0.048)+x)=233966.856801855 | | 7x+-2.7=-6x+-7.9 | | 9x^2+6=4x | | (-10y^2-14)-(-y^2+7)= | | 195-x=260 | | X+12+8x-2=180 | | 4x-5x=17 | | 5x+7(x*0.048)=233966.856801855 | | 24x=16x+7 | | 4x=29-3y | | h+3over-3=-6 | | 4+7y=-52 | | 18=27-x | | x^2=160-12x | | 25-1/2x3 | | 1.01x=7.373 | | 5x+-1.2=9x+-0.8 | | 2x+-3.6=x+-3.4 | | x=1.333333333 | | 9p+7q-5(5p-2q)= | | 6x+6(x*0.048)=233966.856801855 | | 3.14(d)^2•v/4=Q | | y=7x^2-42x+60 | | 4x-2=5+4x | | 2x+-0.5=x | | (6n-4+8n^2)+(4n-3n^2+6)= | | 9x-6y=20 | | -4x+3+15x=7+11x-4 | | 7x-6=-24 |

Equations solver categories