-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 = 42.1875
39.0625 + -12.5x + x2 = 42.1875

Factor a perfect square on the left side:
(x + -6.25)(x + -6.25) = 42.1875

Calculate the square root of the right side: 6.495190528

Break this problem into two subproblems by setting 
(x + -6.25) equal to 6.495190528 and -6.495190528.


Subproblem 1
x + -6.25 = 6.495190528

Simplifying
x + -6.25 = 6.495190528

Reorder the terms:
-6.25 + x = 6.495190528

Solving
-6.25 + x = 6.495190528

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 = 6.495190528 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
0.00 + x = 6.495190528 + 6.25
x = 6.495190528 + 6.25

Combine like terms: 6.495190528 + 6.25 = 12.745190528
x = 12.745190528

Simplifying
x = 12.745190528


Subproblem 2
x + -6.25 = -6.495190528

Simplifying
x + -6.25 = -6.495190528

Reorder the terms:
-6.25 + x = -6.495190528

Solving
-6.25 + x = -6.495190528

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 = -6.495190528 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
0.00 + x = -6.495190528 + 6.25
x = -6.495190528 + 6.25

Combine like terms: -6.495190528 + 6.25 = -0.245190528
x = -0.245190528

Simplifying
x = -0.245190528


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12.745190528, -0.245190528}
Solution
x = {12.745190528, -0.245190528}

See similar equations:

| 3(w-12)+45=w | | 3v-v=2v | | 3,5x+x=18 | | -23=k+11 | | 5a-20(a+3)=50 | | 24+9n=87 | | 3c-2(c-6)=3+2c | | 5-a+16a-5= | | 2x+1+6x-9=180 | | 8(4u+-1)-12=11(2u-6) | | -(3x-5y-6)= | | 5-x=4+4x | | -8m+6-4m=-4m-5m | | -8x-7=-47 | | 0.88888888888(b-72)= | | 8(4u+-1)-12=1192u+-6 | | -(4a-3b+7c)= | | 3x+2+2x+5+4x-7=180 | | 4-2y=6 | | .5(x+4)+3=2x(4.5+..75) | | 4x^2-49x+144= | | 24-a+5a=4 | | 2x+3+5x-60=180 | | 8x-3x=-20 | | 4(2x-3)=7x+x-20 | | 9y+y=-30 | | 4x^4-20x^2+64=0 | | 4x-8=x-24 | | -9/4= | | 3p+8=13+2p | | -4m-11=4m+21 | | 5x^3-40x^2+60=0 |

Equations solver categories