4x^2-24x=8

Simple and best practice solution for 4x^2-24x=8 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 4x^2-24x=8 equation: 


Simplifying
4x2 + -24x = 8

Reorder the terms:
-24x + 4x2 = 8

Solving
-24x + 4x2 = 8

Solving for variable 'x'.

Reorder the terms:
-8 + -24x + 4x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -24x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -6x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-2 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
-2 + -6x + x2 = 0

Solving
-2 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -6x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + -6x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -6x + x2 = 0 + 2
-6x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-6x + x2 = 2

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 = 2 + 9

Reorder the terms:
9 + -6x + x2 = 2 + 9

Combine like terms: 2 + 9 = 11
9 + -6x + x2 = 11

Factor a perfect square on the left side:
(x + -3)(x + -3) = 11

Calculate the square root of the right side: 3.31662479

Break this problem into two subproblems by setting 
(x + -3) equal to 3.31662479 and -3.31662479.


Subproblem 1
x + -3 = 3.31662479

Simplifying
x + -3 = 3.31662479

Reorder the terms:
-3 + x = 3.31662479

Solving
-3 + x = 3.31662479

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 = 3.31662479 + 3

Combine like terms: -3 + 3 = 0
0 + x = 3.31662479 + 3
x = 3.31662479 + 3

Combine like terms: 3.31662479 + 3 = 6.31662479
x = 6.31662479

Simplifying
x = 6.31662479


Subproblem 2
x + -3 = -3.31662479

Simplifying
x + -3 = -3.31662479

Reorder the terms:
-3 + x = -3.31662479

Solving
-3 + x = -3.31662479

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 = -3.31662479 + 3

Combine like terms: -3 + 3 = 0
0 + x = -3.31662479 + 3
x = -3.31662479 + 3

Combine like terms: -3.31662479 + 3 = -0.31662479
x = -0.31662479

Simplifying
x = -0.31662479


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.31662479, -0.31662479}
Solution
x = {6.31662479, -0.31662479}

See similar equations:

| 8y-2y-3=3 | | 5(2x+4)=12x+28 | | x=3[-2x+9]+8 | | 5(1+5n)=-95 | | 3(x+8)=2(4x+17) | | 2z+-3=-2.68 | | 121x^2+22x=0 | | x^2+3x-2=ab | | -x^2+1x-20=0 | | 3(3m+4)=-24 | | 3(6-x)+7x=x-7 | | 2(6x+4)=7x | | 22x-5.2x+4=0 | | X=x-12 | | 4m(m+2)= | | 6d=1(d+6) | | -x^2+x-20=0 | | 91=-7(1+2p) | | 3+11=n | | 3(3m+4)=24 | | 7x+5=2x-4+4x+9 | | (4x-23)(x)=72 | | 10+11d=6d+55 | | .25+3=2 | | 4x+3y=5findslope | | 4x^2-24x-8=0 | | 4x=6+-x+1 | | 6a-9=6+9 | | 8y-12-5y+8=0 | | -x^2-14x-33=0 | | 155-8a=19 | | -88=-8(1+2a) |

Equations solver categories