4x^2-56x+68=0

Simple and best practice solution for 4x^2-56x+68=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 4x^2-56x+68=0 equation: 


Simplifying
4x2 + -56x + 68 = 0

Reorder the terms:
68 + -56x + 4x2 = 0

Solving
68 + -56x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(17 + -14x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(17 + -14x + x2)' equal to zero and attempt to solve:

Simplifying
17 + -14x + x2 = 0

Solving
17 + -14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + -14x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + -14x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -14x + x2 = 0 + -17
-14x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
-14x + x2 = -17

The x term is -14x.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14x + 49 + x2 = -17 + 49

Reorder the terms:
49 + -14x + x2 = -17 + 49

Combine like terms: -17 + 49 = 32
49 + -14x + x2 = 32

Factor a perfect square on the left side:
(x + -7)(x + -7) = 32

Calculate the square root of the right side: 5.656854249

Break this problem into two subproblems by setting 
(x + -7) equal to 5.656854249 and -5.656854249.


Subproblem 1
x + -7 = 5.656854249

Simplifying
x + -7 = 5.656854249

Reorder the terms:
-7 + x = 5.656854249

Solving
-7 + x = 5.656854249

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + x = 5.656854249 + 7

Combine like terms: -7 + 7 = 0
0 + x = 5.656854249 + 7
x = 5.656854249 + 7

Combine like terms: 5.656854249 + 7 = 12.656854249
x = 12.656854249

Simplifying
x = 12.656854249


Subproblem 2
x + -7 = -5.656854249

Simplifying
x + -7 = -5.656854249

Reorder the terms:
-7 + x = -5.656854249

Solving
-7 + x = -5.656854249

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + x = -5.656854249 + 7

Combine like terms: -7 + 7 = 0
0 + x = -5.656854249 + 7
x = -5.656854249 + 7

Combine like terms: -5.656854249 + 7 = 1.343145751
x = 1.343145751

Simplifying
x = 1.343145751


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12.656854249, 1.343145751}
Solution
x = {12.656854249, 1.343145751}

See similar equations:

| Y=8x+42 | | 9-9+22= | | 1.2+0.2*x=0.8 | | 3/18=2/s | | (1+2i)z=3z-i | | 65(x+2)= | | 12x-6x+180=12x+114 | | (x^3)-(5x^2)-(5x)+7=3x-5 | | 2/5x-5=-3 | | 96=x^2+12x | | 6(15-1)=7x-12 | | 24.99=n-0.75n | | 4x-6=-60 | | 3x+44=-12 | | 3x+7y-6=0 | | -0.5x-4.2=6.4 | | 3(x+12)=-2x-1 | | 10^(2/3log(27)) | | (-28/27)/(-2/9) | | 2s-(16/s^2)=0 | | (-28/27)/(-2/9 | | 10+4(x-4)=14 | | F(x)=4x^2+11x-45 | | 5=x-y | | 10+8(2x-4)=0 | | 2s-(1024/s^2)=0 | | (5y+4)-2(7+2y)= | | 2=(7x/12)-(5x/8) | | 2x-1024/s^2=0 | | 5+2(3+x)=21 | | -15=1.5(x+6) | | 4(y+6)=2(y+7) |

Equations solver categories