-0.008x^2+1.2x+200=0

Simple and best practice solution for -0.008x^2+1.2x+200=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 -0.008x^2+1.2x+200=0 equation:


Simplifying
-0.008x2 + 1.2x + 200 = 0

Reorder the terms:
200 + 1.2x + -0.008x2 = 0

Solving
200 + 1.2x + -0.008x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.008 the coefficient of the squared term: 

Divide each side by '-0.008'.
-25000 + -150x + x2 = 0

Move the constant term to the right:

Add '25000' to each side of the equation.
-25000 + -150x + 25000 + x2 = 0 + 25000

Reorder the terms:
-25000 + 25000 + -150x + x2 = 0 + 25000

Combine like terms: -25000 + 25000 = 0
0 + -150x + x2 = 0 + 25000
-150x + x2 = 0 + 25000

Combine like terms: 0 + 25000 = 25000
-150x + x2 = 25000

The x term is -150x.  Take half its coefficient (-75).
Square it (5625) and add it to both sides.

Add '5625' to each side of the equation.
-150x + 5625 + x2 = 25000 + 5625

Reorder the terms:
5625 + -150x + x2 = 25000 + 5625

Combine like terms: 25000 + 5625 = 30625
5625 + -150x + x2 = 30625

Factor a perfect square on the left side:
(x + -75)(x + -75) = 30625

Calculate the square root of the right side: 175

Break this problem into two subproblems by setting 
(x + -75) equal to 175 and -175.

Subproblem 1

x + -75 = 175 Simplifying x + -75 = 175 Reorder the terms: -75 + x = 175 Solving -75 + x = 175 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + x = 175 + 75 Combine like terms: -75 + 75 = 0 0 + x = 175 + 75 x = 175 + 75 Combine like terms: 175 + 75 = 250 x = 250 Simplifying x = 250

Subproblem 2

x + -75 = -175 Simplifying x + -75 = -175 Reorder the terms: -75 + x = -175 Solving -75 + x = -175 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + x = -175 + 75 Combine like terms: -75 + 75 = 0 0 + x = -175 + 75 x = -175 + 75 Combine like terms: -175 + 75 = -100 x = -100 Simplifying x = -100

Solution

The solution to the problem is based on the solutions from the subproblems. x = {250, -100}

See similar equations:

| 14=7x+7 | | 5y+5x=25 | | 3x+9=x-9 | | 12+4x+90=180 | | y(f)=27x^2-27x-12 | | 6x+1+2x=3x+46 | | 79+(8x-11)=180 | | -4y-2+7y=20 | | A=10x | | -16t^2+100t=50 | | 12z-4=10z | | a/2-18=-7 | | Gr=a | | 4z-3=10z-18 | | .15z+2=6.5 | | X+24+4x=-7-4x-14 | | .15z-2=6.5 | | 7k=64 | | 2(3c-1)-2=2c+8 | | u^2=49 | | 7*4-n=-14 | | 5x-5=115 | | 10x^2-53x+15=0 | | 12+9n=8-4n | | 24x+5=197 | | 7+4-n=-14 | | n+3=n-3 | | 2(6x-3)=3(5x-7) | | 5t+12=3(t+5) | | 9a+11=29 | | 55x-3(9x+12)=64 | | -4/9(2x-4)=48 |

Equations solver categories