5x^2-75x+282=0

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Solution for 5x^2-75x+282=0 equation:


Simplifying
5x2 + -75x + 282 = 0

Reorder the terms:
282 + -75x + 5x2 = 0

Solving
282 + -75x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
56.4 + -15x + x2 = 0

Move the constant term to the right:

Add '-56.4' to each side of the equation.
56.4 + -15x + -56.4 + x2 = 0 + -56.4

Reorder the terms:
56.4 + -56.4 + -15x + x2 = 0 + -56.4

Combine like terms: 56.4 + -56.4 = 0.0
0.0 + -15x + x2 = 0 + -56.4
-15x + x2 = 0 + -56.4

Combine like terms: 0 + -56.4 = -56.4
-15x + x2 = -56.4

The x term is -15x.  Take half its coefficient (-7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
-15x + 56.25 + x2 = -56.4 + 56.25

Reorder the terms:
56.25 + -15x + x2 = -56.4 + 56.25

Combine like terms: -56.4 + 56.25 = -0.15
56.25 + -15x + x2 = -0.15

Factor a perfect square on the left side:
(x + -7.5)(x + -7.5) = -0.15

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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