4x^2+20x+8=

Simple and best practice solution for 4x^2+20x+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+20x+8= equation: 


Simplifying
4x2 + 20x + 8 = 0

Reorder the terms:
8 + 20x + 4x2 = 0

Solving
8 + 20x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + 5x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(2 + 5x + x2)' equal to zero and attempt to solve:

Simplifying
2 + 5x + x2 = 0

Solving
2 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 5x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 5x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x + x2 = 0 + -2
5x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
5x + x2 = -2

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = -2 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -2 + 6.25

Combine like terms: -2 + 6.25 = 4.25
6.25 + 5x + x2 = 4.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 4.25

Calculate the square root of the right side: 2.061552813

Break this problem into two subproblems by setting 
(x + 2.5) equal to 2.061552813 and -2.061552813.


Subproblem 1
x + 2.5 = 2.061552813

Simplifying
x + 2.5 = 2.061552813

Reorder the terms:
2.5 + x = 2.061552813

Solving
2.5 + x = 2.061552813

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 2.061552813 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 2.061552813 + -2.5
x = 2.061552813 + -2.5

Combine like terms: 2.061552813 + -2.5 = -0.438447187
x = -0.438447187

Simplifying
x = -0.438447187


Subproblem 2
x + 2.5 = -2.061552813

Simplifying
x + 2.5 = -2.061552813

Reorder the terms:
2.5 + x = -2.061552813

Solving
2.5 + x = -2.061552813

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -2.061552813 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -2.061552813 + -2.5
x = -2.061552813 + -2.5

Combine like terms: -2.061552813 + -2.5 = -4.561552813
x = -4.561552813

Simplifying
x = -4.561552813


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.438447187, -4.561552813}
Solution
x = {-0.438447187, -4.561552813}

See similar equations:

| 16x^2y^-3/2x^5y^-8 | | -9-50=-20 | | x-30x-18=9x+6 | | -4+6.7=10.7 | | 4y-32=-9y | | (40*(10-20/6))/2 | | (-2a^3+9b^2)-(-5a^3+b^2)= | | 4x+3x+1=15 | | 2.5(-3p-8)+5p=4(2.25p+5.5)+15.5 | | -p=-52 | | (-2a^3+9b^2)-(5a^3+b^2)= | | 27*3=12 | | 13-b=-18 | | (8x^2-7y+6)+(-5x^2-y-2)= | | -4(-6)= | | xy+5y=2x-3 | | f(x)=5sinx+8cosx | | X+Xn=Y | | X-89=7 | | -z=59 | | (8a^3-3b^2)-(-a^3+b^2)= | | -2x^3+5y^2-x^3-3y^2= | | -2y+7=-6y-21 | | n+5*2=33 | | 33=15+12x | | -4a-6a= | | -4a+4a= | | 2(2x+4)+6(x-4)= | | (40x(10-3.333))/2 | | 25v+125=600 | | -(-4q-3p^2+14)+(-p^2+9-q)= | | (40x(10-20/6))/2 |

Equations solver categories