.01x^2+5x+15=0

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Solution for .01x^2+5x+15=0 equation: 


Simplifying
0.01x2 + 5x + 15 = 0

Reorder the terms:
15 + 5x + 0.01x2 = 0

Solving
15 + 5x + 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'.
1500 + 500x + x2 = 0

Move the constant term to the right:

Add '-1500' to each side of the equation.
1500 + 500x + -1500 + x2 = 0 + -1500

Reorder the terms:
1500 + -1500 + 500x + x2 = 0 + -1500

Combine like terms: 1500 + -1500 = 0
0 + 500x + x2 = 0 + -1500
500x + x2 = 0 + -1500

Combine like terms: 0 + -1500 = -1500
500x + x2 = -1500

The x term is 500x.  Take half its coefficient (250).
Square it (62500) and add it to both sides.

Add '62500' to each side of the equation.
500x + 62500 + x2 = -1500 + 62500

Reorder the terms:
62500 + 500x + x2 = -1500 + 62500

Combine like terms: -1500 + 62500 = 61000
62500 + 500x + x2 = 61000

Factor a perfect square on the left side:
(x + 250)(x + 250) = 61000

Calculate the square root of the right side: 246.981780705

Break this problem into two subproblems by setting 
(x + 250) equal to 246.981780705 and -246.981780705.


Subproblem 1
x + 250 = 246.981780705

Simplifying
x + 250 = 246.981780705

Reorder the terms:
250 + x = 246.981780705

Solving
250 + x = 246.981780705

Solving for variable 'x'.

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

Add '-250' to each side of the equation.
250 + -250 + x = 246.981780705 + -250

Combine like terms: 250 + -250 = 0
0 + x = 246.981780705 + -250
x = 246.981780705 + -250

Combine like terms: 246.981780705 + -250 = -3.018219295
x = -3.018219295

Simplifying
x = -3.018219295


Subproblem 2
x + 250 = -246.981780705

Simplifying
x + 250 = -246.981780705

Reorder the terms:
250 + x = -246.981780705

Solving
250 + x = -246.981780705

Solving for variable 'x'.

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

Add '-250' to each side of the equation.
250 + -250 + x = -246.981780705 + -250

Combine like terms: 250 + -250 = 0
0 + x = -246.981780705 + -250
x = -246.981780705 + -250

Combine like terms: -246.981780705 + -250 = -496.981780705
x = -496.981780705

Simplifying
x = -496.981780705


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-3.018219295, -496.981780705}

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