0=0.01((x-200)*(x-200))+400

Simple and best practice solution for 0=0.01((x-200)*(x-200))+400 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 0=0.01((x-200)*(x-200))+400 equation: 


Simplifying
0 = 0.01((x + -200)(x + -200)) + 400

Reorder the terms:
0 = 0.01((-200 + x)(x + -200)) + 400

Reorder the terms:
0 = 0.01((-200 + x)(-200 + x)) + 400

Multiply (-200 + x) * (-200 + x)
0 = 0.01((-200(-200 + x) + x(-200 + x))) + 400
0 = 0.01(((-200 * -200 + x * -200) + x(-200 + x))) + 400
0 = 0.01(((40000 + -200x) + x(-200 + x))) + 400
0 = 0.01((40000 + -200x + (-200 * x + x * x))) + 400
0 = 0.01((40000 + -200x + (-200x + x2))) + 400

Combine like terms: -200x + -200x = -400x
0 = 0.01((40000 + -400x + x2)) + 400
0 = (40000 * 0.01 + -400x * 0.01 + x2 * 0.01) + 400
0 = (400 + -4x + 0.01x2) + 400

Reorder the terms:
0 = 400 + 400 + -4x + 0.01x2

Combine like terms: 400 + 400 = 800
0 = 800 + -4x + 0.01x2

Solving
0 = 800 + -4x + 0.01x2

Solving for variable 'x'.

Combine like terms: 0 + -800 = -800
-800 + 4x + -0.01x2 = 800 + -4x + 0.01x2 + -800 + 4x + -0.01x2

Reorder the terms:
-800 + 4x + -0.01x2 = 800 + -800 + -4x + 4x + 0.01x2 + -0.01x2

Combine like terms: 800 + -800 = 0
-800 + 4x + -0.01x2 = 0 + -4x + 4x + 0.01x2 + -0.01x2
-800 + 4x + -0.01x2 = -4x + 4x + 0.01x2 + -0.01x2

Combine like terms: -4x + 4x = 0
-800 + 4x + -0.01x2 = 0 + 0.01x2 + -0.01x2
-800 + 4x + -0.01x2 = 0.01x2 + -0.01x2

Combine like terms: 0.01x2 + -0.01x2 = 0.00
-800 + 4x + -0.01x2 = 0.00

Begin completing the square.  Divide all terms by
-0.01 the coefficient of the squared term: 

Divide each side by '-0.01'.
80000 + -400x + x2 = 0

Move the constant term to the right:

Add '-80000' to each side of the equation.
80000 + -400x + -80000 + x2 = 0 + -80000

Reorder the terms:
80000 + -80000 + -400x + x2 = 0 + -80000

Combine like terms: 80000 + -80000 = 0
0 + -400x + x2 = 0 + -80000
-400x + x2 = 0 + -80000

Combine like terms: 0 + -80000 = -80000
-400x + x2 = -80000

The x term is -400x.  Take half its coefficient (-200).
Square it (40000) and add it to both sides.

Add '40000' to each side of the equation.
-400x + 40000 + x2 = -80000 + 40000

Reorder the terms:
40000 + -400x + x2 = -80000 + 40000

Combine like terms: -80000 + 40000 = -40000
40000 + -400x + x2 = -40000

Factor a perfect square on the left side:
(x + -200)(x + -200) = -40000

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| (4/5)(4/5) | | 10=2(m-2) | | 0=0.5x+150 | | 2/j=1 | | X+12y= | | 4m-4+8m=4m+18-3m | | 18.23=h+15.93 | | 3x^2+5x-55=0 | | 1/2=4r | | v+6.3=17.7 | | 2n=5.6 | | 2x+1.7=8.5 | | 3/5=5x | | c-18.44=-10.45 | | -2.77=z/4 | | 3/6-1/2 | | 3.87n=6+2.247n | | 3=n/3.3 | | 718=2w | | u+709=48 | | .05x+.08x+x=15.96 | | 4q=656 | | n-718=55 | | j+55=98 | | 5(3x-6)+6-4(2x-3)=24 | | f-41=-24 | | 5x+(-3(0))=-15 | | 10logx=49 | | 10p+9=4p-3 | | 11+z= | | -5(0)-(-3y)=-15 | | 16=-4*-4x |

Equations solver categories