-.01x^2+9x-1300=0

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Solution for -.01x^2+9x-1300=0 equation:


Simplifying
-0.01x2 + 9x + -1300 = 0

Reorder the terms:
-1300 + 9x + -0.01x2 = 0

Solving
-1300 + 9x + -0.01x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.01 the coefficient of the squared term: 

Divide each side by '-0.01'.
130000 + -900x + x2 = 0

Move the constant term to the right:

Add '-130000' to each side of the equation.
130000 + -900x + -130000 + x2 = 0 + -130000

Reorder the terms:
130000 + -130000 + -900x + x2 = 0 + -130000

Combine like terms: 130000 + -130000 = 0
0 + -900x + x2 = 0 + -130000
-900x + x2 = 0 + -130000

Combine like terms: 0 + -130000 = -130000
-900x + x2 = -130000

The x term is -900x.  Take half its coefficient (-450).
Square it (202500) and add it to both sides.

Add '202500' to each side of the equation.
-900x + 202500 + x2 = -130000 + 202500

Reorder the terms:
202500 + -900x + x2 = -130000 + 202500

Combine like terms: -130000 + 202500 = 72500
202500 + -900x + x2 = 72500

Factor a perfect square on the left side:
(x + -450)(x + -450) = 72500

Calculate the square root of the right side: 269.258240357

Break this problem into two subproblems by setting 
(x + -450) equal to 269.258240357 and -269.258240357.


Subproblem 1
x + -450 = 269.258240357

Simplifying
x + -450 = 269.258240357

Reorder the terms:
-450 + x = 269.258240357

Solving
-450 + x = 269.258240357

Solving for variable 'x'.

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

Add '450' to each side of the equation.
-450 + 450 + x = 269.258240357 + 450

Combine like terms: -450 + 450 = 0
0 + x = 269.258240357 + 450
x = 269.258240357 + 450

Combine like terms: 269.258240357 + 450 = 719.258240357
x = 719.258240357

Simplifying
x = 719.258240357


Subproblem 2
x + -450 = -269.258240357

Simplifying
x + -450 = -269.258240357

Reorder the terms:
-450 + x = -269.258240357

Solving
-450 + x = -269.258240357

Solving for variable 'x'.

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

Add '450' to each side of the equation.
-450 + 450 + x = -269.258240357 + 450

Combine like terms: -450 + 450 = 0
0 + x = -269.258240357 + 450
x = -269.258240357 + 450

Combine like terms: -269.258240357 + 450 = 180.741759643
x = 180.741759643

Simplifying
x = 180.741759643


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {719.258240357, 180.741759643}

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