-32x^2+3025x+363000=0

Simple and best practice solution for -32x^2+3025x+363000=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 -32x^2+3025x+363000=0 equation: 


Simplifying
-32x2 + 3025x + 363000 = 0

Reorder the terms:
363000 + 3025x + -32x2 = 0

Solving
363000 + 3025x + -32x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-32 the coefficient of the squared term: 

Divide each side by '-32'.
-11343.75 + -94.53125x + x2 = 0

Move the constant term to the right:

Add '11343.75' to each side of the equation.
-11343.75 + -94.53125x + 11343.75 + x2 = 0 + 11343.75

Reorder the terms:
-11343.75 + 11343.75 + -94.53125x + x2 = 0 + 11343.75

Combine like terms: -11343.75 + 11343.75 = 0.00
0.00 + -94.53125x + x2 = 0 + 11343.75
-94.53125x + x2 = 0 + 11343.75

Combine like terms: 0 + 11343.75 = 11343.75
-94.53125x + x2 = 11343.75

The x term is -94.53125x.  Take half its coefficient (-47.265625).
Square it (2234.039307) and add it to both sides.

Add '2234.039307' to each side of the equation.
-94.53125x + 2234.039307 + x2 = 11343.75 + 2234.039307

Reorder the terms:
2234.039307 + -94.53125x + x2 = 11343.75 + 2234.039307

Combine like terms: 11343.75 + 2234.039307 = 13577.789307
2234.039307 + -94.53125x + x2 = 13577.789307

Factor a perfect square on the left side:
(x + -47.265625)(x + -47.265625) = 13577.789307

Calculate the square root of the right side: 116.523771425

Break this problem into two subproblems by setting 
(x + -47.265625) equal to 116.523771425 and -116.523771425.


Subproblem 1
x + -47.265625 = 116.523771425

Simplifying
x + -47.265625 = 116.523771425

Reorder the terms:
-47.265625 + x = 116.523771425

Solving
-47.265625 + x = 116.523771425

Solving for variable 'x'.

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

Add '47.265625' to each side of the equation.
-47.265625 + 47.265625 + x = 116.523771425 + 47.265625

Combine like terms: -47.265625 + 47.265625 = 0.000000
0.000000 + x = 116.523771425 + 47.265625
x = 116.523771425 + 47.265625

Combine like terms: 116.523771425 + 47.265625 = 163.789396425
x = 163.789396425

Simplifying
x = 163.789396425


Subproblem 2
x + -47.265625 = -116.523771425

Simplifying
x + -47.265625 = -116.523771425

Reorder the terms:
-47.265625 + x = -116.523771425

Solving
-47.265625 + x = -116.523771425

Solving for variable 'x'.

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

Add '47.265625' to each side of the equation.
-47.265625 + 47.265625 + x = -116.523771425 + 47.265625

Combine like terms: -47.265625 + 47.265625 = 0.000000
0.000000 + x = -116.523771425 + 47.265625
x = -116.523771425 + 47.265625

Combine like terms: -116.523771425 + 47.265625 = -69.258146425
x = -69.258146425

Simplifying
x = -69.258146425


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {163.789396425, -69.258146425}

See similar equations:

| 4x-23=-3(x+3) | | -32x^2+3025x+665500=0 | | 3x+7y-3=0 | | 36/x=12/2 | | -3+3u=-24 | | .6=.3+x-.15 | | (3)/(-4x-2) | | X/2-3/4=x/3-5/6 | | x(4)-5=3 | | x+3y+35=0 | | 4x-6x+5-1=2x+3x-7+4 | | 7y-5(4y-5)= | | 90x-(9/2)x^2=0 | | (2/3)p=18 | | -17a=391 | | x/4-117/4x=1 | | x+(2*x)=145 | | x-0.28x= | | 0.6(x-6)=9.0 | | 6y-8-y=19-9y | | 5b-20/8b-32 | | -5y-7y=-13-9 | | 3a-13+4a=7a+1 | | 3[5-3(4-9)]-5=5[3(5q-4)+2]-26 | | x-0.4x=102 | | .1243f+1.554=.1863P | | y=ln(4e^2x) | | 18p+2v=3d | | (10x^3)/(xy^7)(2x^5y^6)/(5xy^3) | | (10x^3)/(xy^7)(2x^5y^6)/(5xy^3 | | 1.84=x^60 | | y^8/y^-6 |

Equations solver categories