5x^2-48x+126=0

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Solution for 5x^2-48x+126=0 equation:


Simplifying
5x2 + -48x + 126 = 0

Reorder the terms:
126 + -48x + 5x2 = 0

Solving
126 + -48x + 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'.
25.2 + -9.6x + x2 = 0

Move the constant term to the right:

Add '-25.2' to each side of the equation.
25.2 + -9.6x + -25.2 + x2 = 0 + -25.2

Reorder the terms:
25.2 + -25.2 + -9.6x + x2 = 0 + -25.2

Combine like terms: 25.2 + -25.2 = 0.0
0.0 + -9.6x + x2 = 0 + -25.2
-9.6x + x2 = 0 + -25.2

Combine like terms: 0 + -25.2 = -25.2
-9.6x + x2 = -25.2

The x term is -9.6x.  Take half its coefficient (-4.8).
Square it (23.04) and add it to both sides.

Add '23.04' to each side of the equation.
-9.6x + 23.04 + x2 = -25.2 + 23.04

Reorder the terms:
23.04 + -9.6x + x2 = -25.2 + 23.04

Combine like terms: -25.2 + 23.04 = -2.16
23.04 + -9.6x + x2 = -2.16

Factor a perfect square on the left side:
(x + -4.8)(x + -4.8) = -2.16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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