4x^2+56x-192=0

Simple and best practice solution for 4x^2+56x-192=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-192=0 equation: 


Simplifying
4x2 + 56x + -192 = 0

Reorder the terms:
-192 + 56x + 4x2 = 0

Solving
-192 + 56x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-48 + 14x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-48 + 14x + x2)' equal to zero and attempt to solve:

Simplifying
-48 + 14x + x2 = 0

Solving
-48 + 14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '48' to each side of the equation.
-48 + 14x + 48 + x2 = 0 + 48

Reorder the terms:
-48 + 48 + 14x + x2 = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 14x + x2 = 0 + 48
14x + x2 = 0 + 48

Combine like terms: 0 + 48 = 48
14x + x2 = 48

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 = 48 + 49

Reorder the terms:
49 + 14x + x2 = 48 + 49

Combine like terms: 48 + 49 = 97
49 + 14x + x2 = 97

Factor a perfect square on the left side:
(x + 7)(x + 7) = 97

Calculate the square root of the right side: 9.848857802

Break this problem into two subproblems by setting 
(x + 7) equal to 9.848857802 and -9.848857802.


Subproblem 1
x + 7 = 9.848857802

Simplifying
x + 7 = 9.848857802

Reorder the terms:
7 + x = 9.848857802

Solving
7 + x = 9.848857802

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 = 9.848857802 + -7

Combine like terms: 7 + -7 = 0
0 + x = 9.848857802 + -7
x = 9.848857802 + -7

Combine like terms: 9.848857802 + -7 = 2.848857802
x = 2.848857802

Simplifying
x = 2.848857802


Subproblem 2
x + 7 = -9.848857802

Simplifying
x + 7 = -9.848857802

Reorder the terms:
7 + x = -9.848857802

Solving
7 + x = -9.848857802

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 = -9.848857802 + -7

Combine like terms: 7 + -7 = 0
0 + x = -9.848857802 + -7
x = -9.848857802 + -7

Combine like terms: -9.848857802 + -7 = -16.848857802
x = -16.848857802

Simplifying
x = -16.848857802


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.848857802, -16.848857802}
Solution
x = {2.848857802, -16.848857802}

See similar equations:

| 3.7m+4.3m+2.2=18.2 | | -6(-2+4)=-96 | | 12x-4=216 | | .08x-11=.3x+42 | | 4b+.24=5.6 | | 10-(3x-1)=2-4x | | 16d^3+24d^2+32d=0 | | 4(3x)-8x=216 | | 6b+14.4=7.6 | | 15a-7*4+6fora=2.4 | | 3m+3.6=75 | | 4x-3=-3x | | 10x+6=12x | | 2(3x+4x)-5x= | | -0.7p=-21 | | (x-5)(x+7)=28 | | 78=-6(5m-3) | | 36a^3b^2+66a^2b^3-210ab^4=0 | | solvex^5-2x^4-24x^3=0byfactoring | | ln(8x+11)-ln(x)=ln(9) | | K^2+8k=-6 | | 7m-10=-11 | | 84=64 | | 3s^3t^2-9s^2t^3= | | x(x^2+1)=3+x^3 | | (2m+1)(2m+1)=4m+2 | | 3.7x=7.2 | | 8n-10=-4n+10n+2+12 | | 5y+12.5x=0 | | X+3+6=8 | | -4a=b-21 | | (3x+5)(7x^2+4x+1)= |

Equations solver categories