4.9x^2-12.5x+45=0

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Solution for 4.9x^2-12.5x+45=0 equation:


Simplifying
4.9x2 + -12.5x + 45 = 0

Reorder the terms:
45 + -12.5x + 4.9x2 = 0

Solving
45 + -12.5x + 4.9x2 = 0

Solving for variable 'x'.

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

Divide each side by '4.9'.
9.183673469 + -2.551020408x + x2 = 0

Move the constant term to the right:

Add '-9.183673469' to each side of the equation.
9.183673469 + -2.551020408x + -9.183673469 + x2 = 0 + -9.183673469

Reorder the terms:
9.183673469 + -9.183673469 + -2.551020408x + x2 = 0 + -9.183673469

Combine like terms: 9.183673469 + -9.183673469 = 0.000000000
0.000000000 + -2.551020408x + x2 = 0 + -9.183673469
-2.551020408x + x2 = 0 + -9.183673469

Combine like terms: 0 + -9.183673469 = -9.183673469
-2.551020408x + x2 = -9.183673469

The x term is -2.551020408x.  Take half its coefficient (-1.275510204).
Square it (1.626926281) and add it to both sides.

Add '1.626926281' to each side of the equation.
-2.551020408x + 1.626926281 + x2 = -9.183673469 + 1.626926281

Reorder the terms:
1.626926281 + -2.551020408x + x2 = -9.183673469 + 1.626926281

Combine like terms: -9.183673469 + 1.626926281 = -7.556747188
1.626926281 + -2.551020408x + x2 = -7.556747188

Factor a perfect square on the left side:
(x + -1.275510204)(x + -1.275510204) = -7.556747188

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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