-0.005x^2+0.17x+3=0

Simple and best practice solution for -0.005x^2+0.17x+3=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 -0.005x^2+0.17x+3=0 equation:


Simplifying
-0.005x2 + 0.17x + 3 = 0

Reorder the terms:
3 + 0.17x + -0.005x2 = 0

Solving
3 + 0.17x + -0.005x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.005 the coefficient of the squared term: 

Divide each side by '-0.005'.
-600 + -34x + x2 = 0

Move the constant term to the right:

Add '600' to each side of the equation.
-600 + -34x + 600 + x2 = 0 + 600

Reorder the terms:
-600 + 600 + -34x + x2 = 0 + 600

Combine like terms: -600 + 600 = 0
0 + -34x + x2 = 0 + 600
-34x + x2 = 0 + 600

Combine like terms: 0 + 600 = 600
-34x + x2 = 600

The x term is -34x.  Take half its coefficient (-17).
Square it (289) and add it to both sides.

Add '289' to each side of the equation.
-34x + 289 + x2 = 600 + 289

Reorder the terms:
289 + -34x + x2 = 600 + 289

Combine like terms: 600 + 289 = 889
289 + -34x + x2 = 889

Factor a perfect square on the left side:
(x + -17)(x + -17) = 889

Calculate the square root of the right side: 29.816103032

Break this problem into two subproblems by setting 
(x + -17) equal to 29.816103032 and -29.816103032.

Subproblem 1

x + -17 = 29.816103032 Simplifying x + -17 = 29.816103032 Reorder the terms: -17 + x = 29.816103032 Solving -17 + x = 29.816103032 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + x = 29.816103032 + 17 Combine like terms: -17 + 17 = 0 0 + x = 29.816103032 + 17 x = 29.816103032 + 17 Combine like terms: 29.816103032 + 17 = 46.816103032 x = 46.816103032 Simplifying x = 46.816103032

Subproblem 2

x + -17 = -29.816103032 Simplifying x + -17 = -29.816103032 Reorder the terms: -17 + x = -29.816103032 Solving -17 + x = -29.816103032 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + x = -29.816103032 + 17 Combine like terms: -17 + 17 = 0 0 + x = -29.816103032 + 17 x = -29.816103032 + 17 Combine like terms: -29.816103032 + 17 = -12.816103032 x = -12.816103032 Simplifying x = -12.816103032

Solution

The solution to the problem is based on the solutions from the subproblems. x = {46.816103032, -12.816103032}

See similar equations:

| -0.3x=0.06 | | -42-16=-62+4 | | 16t^2+20t-4= | | 1.2=-2.4x | | -6x^2-36=0 | | 9n^2-42n+49=0 | | ln(x+2)+ln(x-3)=4 | | 0.15x=1.75 | | 20+4x=7x | | 4(2x-3)=5-7x | | X+(x-20)+(x+20)+(3x-60)=400 | | 5x+11=-3x+35 | | 42-4x=-5x | | -4x^2=25 | | 7/10+x=4/15 | | 4h+12=5-10 | | -16t^2-16t+60=0 | | z+53=92 | | 0.7+x=2.6 | | 2x+1=6-3x | | -2x+5=4x-1 | | 10x-2(3x+1)=1-4-(2x+3) | | 5x-3y=44 | | 1/6=x-2/9+(-1/6) | | 4-8(2a-7)= | | y+21=-5 | | 16+4g=-4 | | 5/8=330 | | 2x=5x+13 | | 6-12x=5-17X | | x^2+2*x+2=26 | | 0.3=x+0.95 |

Equations solver categories