-9.8x^2+173x+32.5=0

Simple and best practice solution for -9.8x^2+173x+32.5=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 -9.8x^2+173x+32.5=0 equation: 


Simplifying
-9.8x2 + 173x + 32.5 = 0

Reorder the terms:
32.5 + 173x + -9.8x2 = 0

Solving
32.5 + 173x + -9.8x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-9.8 the coefficient of the squared term: 

Divide each side by '-9.8'.
-3.316326531 + -17.65306122x + x2 = 0

Move the constant term to the right:

Add '3.316326531' to each side of the equation.
-3.316326531 + -17.65306122x + 3.316326531 + x2 = 0 + 3.316326531

Reorder the terms:
-3.316326531 + 3.316326531 + -17.65306122x + x2 = 0 + 3.316326531

Combine like terms: -3.316326531 + 3.316326531 = 0.000000000
0.000000000 + -17.65306122x + x2 = 0 + 3.316326531
-17.65306122x + x2 = 0 + 3.316326531

Combine like terms: 0 + 3.316326531 = 3.316326531
-17.65306122x + x2 = 3.316326531

The x term is -17.65306122x.  Take half its coefficient (-8.82653061).
Square it (77.90764261) and add it to both sides.

Add '77.90764261' to each side of the equation.
-17.65306122x + 77.90764261 + x2 = 3.316326531 + 77.90764261

Reorder the terms:
77.90764261 + -17.65306122x + x2 = 3.316326531 + 77.90764261

Combine like terms: 3.316326531 + 77.90764261 = 81.223969141
77.90764261 + -17.65306122x + x2 = 81.223969141

Factor a perfect square on the left side:
(x + -8.82653061)(x + -8.82653061) = 81.223969141

Calculate the square root of the right side: 9.012434141

Break this problem into two subproblems by setting 
(x + -8.82653061) equal to 9.012434141 and -9.012434141.


Subproblem 1
x + -8.82653061 = 9.012434141

Simplifying
x + -8.82653061 = 9.012434141

Reorder the terms:
-8.82653061 + x = 9.012434141

Solving
-8.82653061 + x = 9.012434141

Solving for variable 'x'.

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

Add '8.82653061' to each side of the equation.
-8.82653061 + 8.82653061 + x = 9.012434141 + 8.82653061

Combine like terms: -8.82653061 + 8.82653061 = 0.00000000
0.00000000 + x = 9.012434141 + 8.82653061
x = 9.012434141 + 8.82653061

Combine like terms: 9.012434141 + 8.82653061 = 17.838964751
x = 17.838964751

Simplifying
x = 17.838964751


Subproblem 2
x + -8.82653061 = -9.012434141

Simplifying
x + -8.82653061 = -9.012434141

Reorder the terms:
-8.82653061 + x = -9.012434141

Solving
-8.82653061 + x = -9.012434141

Solving for variable 'x'.

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

Add '8.82653061' to each side of the equation.
-8.82653061 + 8.82653061 + x = -9.012434141 + 8.82653061

Combine like terms: -8.82653061 + 8.82653061 = 0.00000000
0.00000000 + x = -9.012434141 + 8.82653061
x = -9.012434141 + 8.82653061

Combine like terms: -9.012434141 + 8.82653061 = -0.185903531
x = -0.185903531

Simplifying
x = -0.185903531


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {17.838964751, -0.185903531}

See similar equations:

| 3/2r-2/3r=-9 | | 12+14x-12=14x-24 | | 9(x+1)+4=5x+4(2+x) | | 17=n+17 | | 16-(3m+5)=3+4m-13 | | 12+6x=6(x+3) | | -(224/9)+3(1/3)x=7(-(22/7)x+(2/3)) | | -12=a-6 | | 8-3(m+2)=23-8m | | z^2-(2+i)z+(-1+7i)=0 | | 4*(x+5)*-4*(3x-2)=90 | | 4(2c-3)-7=13 | | x^2+24x+58=0 | | a^2+7a-30=0 | | 3y-4(6-5y)= | | 4*(x+5)-4*(3x-2)=90 | | 420(1-5/6+e^-0.1q) | | 11-6x=3x+2 | | -121=11n | | 1=-(2/3)x+1-(15/4)x | | 4/5=a-8/20 | | -y/2+4=-7 | | -y/2+4=-7 | | 4x^2+17x-21=0 | | 25=8+n/2 | | -5(3-2d)+3d+18= | | 2/77v+13/49v | | 6m-20=3m-8 | | -8m+1m=12+7 | | -7y-1=-6y-2 | | y/8+2=-8 | | y-7=3(2x+3) |

Equations solver categories