0=25x^2-828x+36000

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Solution for 0=25x^2-828x+36000 equation:


Simplifying
0 = 25x2 + -828x + 36000

Reorder the terms:
0 = 36000 + -828x + 25x2

Solving
0 = 36000 + -828x + 25x2

Solving for variable 'x'.

Combine like terms: 0 + -36000 = -36000
-36000 + 828x + -25x2 = 36000 + -828x + 25x2 + -36000 + 828x + -25x2

Reorder the terms:
-36000 + 828x + -25x2 = 36000 + -36000 + -828x + 828x + 25x2 + -25x2

Combine like terms: 36000 + -36000 = 0
-36000 + 828x + -25x2 = 0 + -828x + 828x + 25x2 + -25x2
-36000 + 828x + -25x2 = -828x + 828x + 25x2 + -25x2

Combine like terms: -828x + 828x = 0
-36000 + 828x + -25x2 = 0 + 25x2 + -25x2
-36000 + 828x + -25x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
-36000 + 828x + -25x2 = 0

Begin completing the square.  Divide all terms by
-25 the coefficient of the squared term: 

Divide each side by '-25'.
1440 + -33.12x + x2 = 0

Move the constant term to the right:

Add '-1440' to each side of the equation.
1440 + -33.12x + -1440 + x2 = 0 + -1440

Reorder the terms:
1440 + -1440 + -33.12x + x2 = 0 + -1440

Combine like terms: 1440 + -1440 = 0
0 + -33.12x + x2 = 0 + -1440
-33.12x + x2 = 0 + -1440

Combine like terms: 0 + -1440 = -1440
-33.12x + x2 = -1440

The x term is -33.12x.  Take half its coefficient (-16.56).
Square it (274.2336) and add it to both sides.

Add '274.2336' to each side of the equation.
-33.12x + 274.2336 + x2 = -1440 + 274.2336

Reorder the terms:
274.2336 + -33.12x + x2 = -1440 + 274.2336

Combine like terms: -1440 + 274.2336 = -1165.7664
274.2336 + -33.12x + x2 = -1165.7664

Factor a perfect square on the left side:
(x + -16.56)(x + -16.56) = -1165.7664

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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