-.17x^2+22x-295=0

Simple and best practice solution for -.17x^2+22x-295=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 -.17x^2+22x-295=0 equation: 


Simplifying
-0.17x2 + 22x + -295 = 0

Reorder the terms:
-295 + 22x + -0.17x2 = 0

Solving
-295 + 22x + -0.17x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.17 the coefficient of the squared term: 

Divide each side by '-0.17'.
1735.294118 + -129.4117647x + x2 = 0

Move the constant term to the right:

Add '-1735.294118' to each side of the equation.
1735.294118 + -129.4117647x + -1735.294118 + x2 = 0 + -1735.294118

Reorder the terms:
1735.294118 + -1735.294118 + -129.4117647x + x2 = 0 + -1735.294118

Combine like terms: 1735.294118 + -1735.294118 = 0.000000
0.000000 + -129.4117647x + x2 = 0 + -1735.294118
-129.4117647x + x2 = 0 + -1735.294118

Combine like terms: 0 + -1735.294118 = -1735.294118
-129.4117647x + x2 = -1735.294118

The x term is -129.4117647x.  Take half its coefficient (-64.70588235).
Square it (4186.851211) and add it to both sides.

Add '4186.851211' to each side of the equation.
-129.4117647x + 4186.851211 + x2 = -1735.294118 + 4186.851211

Reorder the terms:
4186.851211 + -129.4117647x + x2 = -1735.294118 + 4186.851211

Combine like terms: -1735.294118 + 4186.851211 = 2451.557093
4186.851211 + -129.4117647x + x2 = 2451.557093

Factor a perfect square on the left side:
(x + -64.70588235)(x + -64.70588235) = 2451.557093

Calculate the square root of the right side: 49.513201199

Break this problem into two subproblems by setting 
(x + -64.70588235) equal to 49.513201199 and -49.513201199.


Subproblem 1
x + -64.70588235 = 49.513201199

Simplifying
x + -64.70588235 = 49.513201199

Reorder the terms:
-64.70588235 + x = 49.513201199

Solving
-64.70588235 + x = 49.513201199

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '64.70588235' to each side of the equation.
-64.70588235 + 64.70588235 + x = 49.513201199 + 64.70588235

Combine like terms: -64.70588235 + 64.70588235 = 0.00000000
0.00000000 + x = 49.513201199 + 64.70588235
x = 49.513201199 + 64.70588235

Combine like terms: 49.513201199 + 64.70588235 = 114.219083549
x = 114.219083549

Simplifying
x = 114.219083549


Subproblem 2
x + -64.70588235 = -49.513201199

Simplifying
x + -64.70588235 = -49.513201199

Reorder the terms:
-64.70588235 + x = -49.513201199

Solving
-64.70588235 + x = -49.513201199

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '64.70588235' to each side of the equation.
-64.70588235 + 64.70588235 + x = -49.513201199 + 64.70588235

Combine like terms: -64.70588235 + 64.70588235 = 0.00000000
0.00000000 + x = -49.513201199 + 64.70588235
x = -49.513201199 + 64.70588235

Combine like terms: -49.513201199 + 64.70588235 = 15.192681151
x = 15.192681151

Simplifying
x = 15.192681151


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {114.219083549, 15.192681151}

See similar equations:

| 22-18x=x-8 | | factor-.17x^2+22x-295=0 | | 2x+6-6x=38 | | 4(2x-3)(5x+2)=64 | | 3y-6+5y-9= | | 7x-6=-83 | | 2x+6-4x-2=24 | | 3(80-x)=x-96 | | .25x+-2=3x | | 24x^2+82x+48=0 | | 4-6x=-26 | | 5x-4x+9x-7+13=76 | | 3x(4-2)=12 | | 8+3x=-28 | | 20x+3y=301 | | 6(55y+7)=7(4y-10) | | -14=5y+8(y+1) | | 2(4x-4)=28 | | 25x+3+6x=30x+9-x | | 6+0.6m+1.2m=18.6 | | 6+0.6+1.2=18.6 | | (c+3)(c^2-3c+5)= | | -8=x-1 | | 4*n=63 | | 5Q+-5=6Q+7 | | 200x+3200=3200 | | x+10x=715 | | 4z^9+9=2 | | .4x+1.2=6.4 | | 5Q-5=6Q+7 | | 213-w=255 | | 14=x+19 |

Equations solver categories