-16x*x+200x+4=0

Simple and best practice solution for -16x*x+200x+4=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 -16x*x+200x+4=0 equation: 


Simplifying
-16x * x + 200x + 4 = 0

Multiply x * x
-16x2 + 200x + 4 = 0

Reorder the terms:
4 + 200x + -16x2 = 0

Solving
4 + 200x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + 50x + -4x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(1 + 50x + -4x2)' equal to zero and attempt to solve:

Simplifying
1 + 50x + -4x2 = 0

Solving
1 + 50x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
-0.25 + -12.5x + x2 = 0

Move the constant term to the right:

Add '0.25' to each side of the equation.
-0.25 + -12.5x + 0.25 + x2 = 0 + 0.25

Reorder the terms:
-0.25 + 0.25 + -12.5x + x2 = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + -12.5x + x2 = 0 + 0.25
-12.5x + x2 = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
-12.5x + x2 = 0.25

The x term is -12.5x.  Take half its coefficient (-6.25).
Square it (39.0625) and add it to both sides.

Add '39.0625' to each side of the equation.
-12.5x + 39.0625 + x2 = 0.25 + 39.0625

Reorder the terms:
39.0625 + -12.5x + x2 = 0.25 + 39.0625

Combine like terms: 0.25 + 39.0625 = 39.3125
39.0625 + -12.5x + x2 = 39.3125

Factor a perfect square on the left side:
(x + -6.25)(x + -6.25) = 39.3125

Calculate the square root of the right side: 6.269968102

Break this problem into two subproblems by setting 
(x + -6.25) equal to 6.269968102 and -6.269968102.


Subproblem 1
x + -6.25 = 6.269968102

Simplifying
x + -6.25 = 6.269968102

Reorder the terms:
-6.25 + x = 6.269968102

Solving
-6.25 + x = 6.269968102

Solving for variable 'x'.

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

Add '6.25' to each side of the equation.
-6.25 + 6.25 + x = 6.269968102 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
0.00 + x = 6.269968102 + 6.25
x = 6.269968102 + 6.25

Combine like terms: 6.269968102 + 6.25 = 12.519968102
x = 12.519968102

Simplifying
x = 12.519968102


Subproblem 2
x + -6.25 = -6.269968102

Simplifying
x + -6.25 = -6.269968102

Reorder the terms:
-6.25 + x = -6.269968102

Solving
-6.25 + x = -6.269968102

Solving for variable 'x'.

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

Add '6.25' to each side of the equation.
-6.25 + 6.25 + x = -6.269968102 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
0.00 + x = -6.269968102 + 6.25
x = -6.269968102 + 6.25

Combine like terms: -6.269968102 + 6.25 = -0.019968102
x = -0.019968102

Simplifying
x = -0.019968102


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12.519968102, -0.019968102}
Solution
x = {12.519968102, -0.019968102}

See similar equations:

| -(4A-3B)= | | x-0.6=8.75 | | 344+36d=500 | | 9-7y=4(1-3x) | | 33s=-231 | | (n+2)*4=28 | | 4x-3/4-2x+5/4=10 | | 15x+10=6x+28 | | (-2y-6x)(-5)= | | 4x-7/8+x=4x+7/4+3 | | 300-20=20 | | 6-9x=54-23x | | 9y+1=8y-5 | | 6x+2=4/x+1 | | 7-3x=-4x | | 5x+12=4/8 | | 1/5(2X-6)=3 | | -88+7x=-85-9x | | y=36-3x^2-2x^3 | | -4/5x+2/25x+1/15x | | 4(6c-6)= | | p^2-p-1=0 | | 9/2=8*1/8 | | 137-2x=5x+11 | | 10x^2+17x-42=0 | | 4(tan)x=1 | | a(a-17)=(-60) | | 8n-118= | | y=1/2+2 | | 0.5X+6=0.4x | | 5x+2=6/7 | | 4tanx=1 |

Equations solver categories