3x-44=45x^2

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Solution for 3x-44=45x^2 equation:


Simplifying
3x + -44 = 45x2

Reorder the terms:
-44 + 3x = 45x2

Solving
-44 + 3x = 45x2

Solving for variable 'x'.

Combine like terms: 45x2 + -45x2 = 0
-44 + 3x + -45x2 = 0

Begin completing the square.  Divide all terms by
-45 the coefficient of the squared term: 

Divide each side by '-45'.
0.9777777778 + -0.06666666667x + x2 = 0

Move the constant term to the right:

Add '-0.9777777778' to each side of the equation.
0.9777777778 + -0.06666666667x + -0.9777777778 + x2 = 0 + -0.9777777778

Reorder the terms:
0.9777777778 + -0.9777777778 + -0.06666666667x + x2 = 0 + -0.9777777778

Combine like terms: 0.9777777778 + -0.9777777778 = 0.0000000000
0.0000000000 + -0.06666666667x + x2 = 0 + -0.9777777778
-0.06666666667x + x2 = 0 + -0.9777777778

Combine like terms: 0 + -0.9777777778 = -0.9777777778
-0.06666666667x + x2 = -0.9777777778

The x term is -0.06666666667x.  Take half its coefficient (-0.03333333334).
Square it (0.001111111112) and add it to both sides.

Add '0.001111111112' to each side of the equation.
-0.06666666667x + 0.001111111112 + x2 = -0.9777777778 + 0.001111111112

Reorder the terms:
0.001111111112 + -0.06666666667x + x2 = -0.9777777778 + 0.001111111112

Combine like terms: -0.9777777778 + 0.001111111112 = -0.976666666688
0.001111111112 + -0.06666666667x + x2 = -0.976666666688

Factor a perfect square on the left side:
(x + -0.03333333334)(x + -0.03333333334) = -0.976666666688

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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