4x^2+56x+156=0

Simple and best practice solution for 4x^2+56x+156=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+156=0 equation: 


Simplifying
4x2 + 56x + 156 = 0

Reorder the terms:
156 + 56x + 4x2 = 0

Solving
156 + 56x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(39 + 14x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(39 + 14x + x2)' equal to zero and attempt to solve:

Simplifying
39 + 14x + x2 = 0

Solving
39 + 14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-39' to each side of the equation.
39 + 14x + -39 + x2 = 0 + -39

Reorder the terms:
39 + -39 + 14x + x2 = 0 + -39

Combine like terms: 39 + -39 = 0
0 + 14x + x2 = 0 + -39
14x + x2 = 0 + -39

Combine like terms: 0 + -39 = -39
14x + x2 = -39

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 = -39 + 49

Reorder the terms:
49 + 14x + x2 = -39 + 49

Combine like terms: -39 + 49 = 10
49 + 14x + x2 = 10

Factor a perfect square on the left side:
(x + 7)(x + 7) = 10

Calculate the square root of the right side: 3.16227766

Break this problem into two subproblems by setting 
(x + 7) equal to 3.16227766 and -3.16227766.


Subproblem 1
x + 7 = 3.16227766

Simplifying
x + 7 = 3.16227766

Reorder the terms:
7 + x = 3.16227766

Solving
7 + x = 3.16227766

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 = 3.16227766 + -7

Combine like terms: 7 + -7 = 0
0 + x = 3.16227766 + -7
x = 3.16227766 + -7

Combine like terms: 3.16227766 + -7 = -3.83772234
x = -3.83772234

Simplifying
x = -3.83772234


Subproblem 2
x + 7 = -3.16227766

Simplifying
x + 7 = -3.16227766

Reorder the terms:
7 + x = -3.16227766

Solving
7 + x = -3.16227766

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 = -3.16227766 + -7

Combine like terms: 7 + -7 = 0
0 + x = -3.16227766 + -7
x = -3.16227766 + -7

Combine like terms: -3.16227766 + -7 = -10.16227766
x = -10.16227766

Simplifying
x = -10.16227766


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-3.83772234, -10.16227766}
Solution
x = {-3.83772234, -10.16227766}

See similar equations:

| s=4s-60 | | 9x-20=7x+16 | | 140=(2x-2)(2x+2) | | 6(5-5y)= | | t^3+t=4930 | | 2z/2= | | 11+x+24=19+x+22 | | 0.75(4x+8)=-3 | | 5k-15+j=3j-5 | | 3(2g+7m)= | | (x+x)-20x+100=0 | | 0.2r=-8 | | v+53=3v+21 | | 9=5.4*x | | 5y^2+7y-4=0 | | 12-4p=-4(-5p-3) | | (5x-15)=what | | 5y-2=3x+2 | | 4(-2f-6g)= | | 3x=2.52 | | 140=4x^2-4+4-16 | | x^1000=0.9 | | 3y=-x+0 | | 13w+16w-7+5=-5w+5-7 | | 4x^2-156=0 | | 8(-4k-4)=-5k-32 | | 3(3+2j)= | | 3z-35=5z-87 | | 5m-13=n+5 | | u=2u-74 | | x=7x+6y | | 3q-70=q+26 |

Equations solver categories