4X^2+28+100X=0

Simple and best practice solution for 4X^2+28+100X=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+28+100X=0 equation: 


Simplifying
4X2 + 28 + 100X = 0

Reorder the terms:
28 + 100X + 4X2 = 0

Solving
28 + 100X + 4X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + 25X + X2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(7 + 25X + X2)' equal to zero and attempt to solve:

Simplifying
7 + 25X + X2 = 0

Solving
7 + 25X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + 25X + -7 + X2 = 0 + -7

Reorder the terms:
7 + -7 + 25X + X2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 25X + X2 = 0 + -7
25X + X2 = 0 + -7

Combine like terms: 0 + -7 = -7
25X + X2 = -7

The X term is 25X.  Take half its coefficient (12.5).
Square it (156.25) and add it to both sides.

Add '156.25' to each side of the equation.
25X + 156.25 + X2 = -7 + 156.25

Reorder the terms:
156.25 + 25X + X2 = -7 + 156.25

Combine like terms: -7 + 156.25 = 149.25
156.25 + 25X + X2 = 149.25

Factor a perfect square on the left side:
(X + 12.5)(X + 12.5) = 149.25

Calculate the square root of the right side: 12.216791723

Break this problem into two subproblems by setting 
(X + 12.5) equal to 12.216791723 and -12.216791723.


Subproblem 1
X + 12.5 = 12.216791723

Simplifying
X + 12.5 = 12.216791723

Reorder the terms:
12.5 + X = 12.216791723

Solving
12.5 + X = 12.216791723

Solving for variable 'X'.

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

Add '-12.5' to each side of the equation.
12.5 + -12.5 + X = 12.216791723 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + X = 12.216791723 + -12.5
X = 12.216791723 + -12.5

Combine like terms: 12.216791723 + -12.5 = -0.283208277
X = -0.283208277

Simplifying
X = -0.283208277


Subproblem 2
X + 12.5 = -12.216791723

Simplifying
X + 12.5 = -12.216791723

Reorder the terms:
12.5 + X = -12.216791723

Solving
12.5 + X = -12.216791723

Solving for variable 'X'.

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

Add '-12.5' to each side of the equation.
12.5 + -12.5 + X = -12.216791723 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + X = -12.216791723 + -12.5
X = -12.216791723 + -12.5

Combine like terms: -12.216791723 + -12.5 = -24.716791723
X = -24.716791723

Simplifying
X = -24.716791723


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {-0.283208277, -24.716791723}
Solution
X = {-0.283208277, -24.716791723}

See similar equations:

| 10a-2a=40 | | 4x^2-100=0e | | 4X^2+28x+100=0 | | 7x-7-4x= | | -34=u+42-5u | | 4X^2+28+100=0 | | 3-23=213 | | lne=9 | | -5f-4(3f+9)= | | 12+18y+7(-y+5)=-8 | | -x+4=-2x-4 | | 9w^3+18w^2-27w=0 | | -16t^2+92t+24=0 | | 3x^2+17-6=0 | | 20x+0.2*1000=320x | | 3*5+4y=18 | | m-32.54=123.32 | | -x+2=-2x-6 | | 5x^4+5x^3=0 | | -81+7x-3x=35 | | 12-3(y+1)=1-3(y-2) | | x-15+120=180 | | 20x+0.2*1000=320 | | f(x)=87t-21t^2 | | V^2+30=-11v | | 25.00+0.25=x | | =24.3 | | -3-2y=-19 | | N+31=57 | | -3x+7=1+3x | | -2.2+0.3z=3-0.5-0.8z | | 10-3(2b+4)=-4b-2(5-6) |

Equations solver categories