-16x^2+200x-50=0

Simple and best practice solution for -16x^2+200x-50=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^2+200x-50=0 equation: 


Simplifying
-16x2 + 200x + -50 = 0

Reorder the terms:
-50 + 200x + -16x2 = 0

Solving
-50 + 200x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-25 + 100x + -8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-25 + 100x + -8x2)' equal to zero and attempt to solve:

Simplifying
-25 + 100x + -8x2 = 0

Solving
-25 + 100x + -8x2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
3.125 + -12.5x + x2 = 0

Move the constant term to the right:

Add '-3.125' to each side of the equation.
3.125 + -12.5x + -3.125 + x2 = 0 + -3.125

Reorder the terms:
3.125 + -3.125 + -12.5x + x2 = 0 + -3.125

Combine like terms: 3.125 + -3.125 = 0.000
0.000 + -12.5x + x2 = 0 + -3.125
-12.5x + x2 = 0 + -3.125

Combine like terms: 0 + -3.125 = -3.125
-12.5x + x2 = -3.125

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 = -3.125 + 39.0625

Reorder the terms:
39.0625 + -12.5x + x2 = -3.125 + 39.0625

Combine like terms: -3.125 + 39.0625 = 35.9375
39.0625 + -12.5x + x2 = 35.9375

Factor a perfect square on the left side:
(x + -6.25)(x + -6.25) = 35.9375

Calculate the square root of the right side: 5.994789404

Break this problem into two subproblems by setting 
(x + -6.25) equal to 5.994789404 and -5.994789404.


Subproblem 1
x + -6.25 = 5.994789404

Simplifying
x + -6.25 = 5.994789404

Reorder the terms:
-6.25 + x = 5.994789404

Solving
-6.25 + x = 5.994789404

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 = 5.994789404 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
0.00 + x = 5.994789404 + 6.25
x = 5.994789404 + 6.25

Combine like terms: 5.994789404 + 6.25 = 12.244789404
x = 12.244789404

Simplifying
x = 12.244789404


Subproblem 2
x + -6.25 = -5.994789404

Simplifying
x + -6.25 = -5.994789404

Reorder the terms:
-6.25 + x = -5.994789404

Solving
-6.25 + x = -5.994789404

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 = -5.994789404 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
0.00 + x = -5.994789404 + 6.25
x = -5.994789404 + 6.25

Combine like terms: -5.994789404 + 6.25 = 0.255210596
x = 0.255210596

Simplifying
x = 0.255210596


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12.244789404, 0.255210596}
Solution
x = {12.244789404, 0.255210596}

See similar equations:

| -3(2x-4)-(5x-1)=6(x+1) | | 5z^3+320=0 | | -1y-22=1y-16 | | 27x^3=1000 | | 9x^2-123x-734=0 | | (2.5)x=(x-20)5 | | 3x^2+4x=-5 | | 2[3-4x]=10-x | | 32z^5-2z=0 | | 5h-3h+11=17 | | 3x^2-2x+112=0 | | 8c-3c-18=7 | | h(t)=2t^2+12t | | 4x^4-16x^2+9=0 | | 25+.05y=10+.10y | | (y/3)=-39 | | 5a+3=7 | | 4a-10a^3-a+2-8a^3= | | 27m^3+1=0 | | 5x-2/8+3x+1/4=3/4 | | 2-4x=10-7x | | g(x)=x^2-x+1 | | 2d-3.25=3.95 | | 6p-12=42 | | G(X)=2*2-2+1 | | 5=(r/2) | | 9+4m=53 | | 3.95=2d-3.25 | | (5/2)a=-25 | | -56x-7y+56=0 | | -4b^4=500b | | 2*2-2=1 |

Equations solver categories