0=4.9x^2-25.996x+34.52

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Solution for 0=4.9x^2-25.996x+34.52 equation:


Simplifying
0 = 4.9x2 + -25.996x + 34.52

Reorder the terms:
0 = 34.52 + -25.996x + 4.9x2

Solving
0 = 34.52 + -25.996x + 4.9x2

Solving for variable 'x'.

Combine like terms: 0 + -34.52 = -34.52
-34.52 + 25.996x + -4.9x2 = 34.52 + -25.996x + 4.9x2 + -34.52 + 25.996x + -4.9x2

Reorder the terms:
-34.52 + 25.996x + -4.9x2 = 34.52 + -34.52 + -25.996x + 25.996x + 4.9x2 + -4.9x2

Combine like terms: 34.52 + -34.52 = 0.00
-34.52 + 25.996x + -4.9x2 = 0.00 + -25.996x + 25.996x + 4.9x2 + -4.9x2
-34.52 + 25.996x + -4.9x2 = -25.996x + 25.996x + 4.9x2 + -4.9x2

Combine like terms: -25.996x + 25.996x = 0.000
-34.52 + 25.996x + -4.9x2 = 0.000 + 4.9x2 + -4.9x2
-34.52 + 25.996x + -4.9x2 = 4.9x2 + -4.9x2

Combine like terms: 4.9x2 + -4.9x2 = 0.0
-34.52 + 25.996x + -4.9x2 = 0.0

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

Divide each side by '-4.9'.
7.044897959 + -5.305306122x + x2 = 0

Move the constant term to the right:

Add '-7.044897959' to each side of the equation.
7.044897959 + -5.305306122x + -7.044897959 + x2 = 0 + -7.044897959

Reorder the terms:
7.044897959 + -7.044897959 + -5.305306122x + x2 = 0 + -7.044897959

Combine like terms: 7.044897959 + -7.044897959 = 0.000000000
0.000000000 + -5.305306122x + x2 = 0 + -7.044897959
-5.305306122x + x2 = 0 + -7.044897959

Combine like terms: 0 + -7.044897959 = -7.044897959
-5.305306122x + x2 = -7.044897959

The x term is -5.305306122x.  Take half its coefficient (-2.652653061).
Square it (7.036568262) and add it to both sides.

Add '7.036568262' to each side of the equation.
-5.305306122x + 7.036568262 + x2 = -7.044897959 + 7.036568262

Reorder the terms:
7.036568262 + -5.305306122x + x2 = -7.044897959 + 7.036568262

Combine like terms: -7.044897959 + 7.036568262 = -0.008329697
7.036568262 + -5.305306122x + x2 = -0.008329697

Factor a perfect square on the left side:
(x + -2.652653061)(x + -2.652653061) = -0.008329697

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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