30x^2-53x+25=0

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Solution for 30x^2-53x+25=0 equation:


Simplifying
30x2 + -53x + 25 = 0

Reorder the terms:
25 + -53x + 30x2 = 0

Solving
25 + -53x + 30x2 = 0

Solving for variable 'x'.

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

Divide each side by '30'.
0.8333333333 + -1.766666667x + x2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + -1.766666667x + -0.8333333333 + x2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + -1.766666667x + x2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + -1.766666667x + x2 = 0 + -0.8333333333
-1.766666667x + x2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
-1.766666667x + x2 = -0.8333333333

The x term is -1.766666667x.  Take half its coefficient (-0.8833333335).
Square it (0.7802777781) and add it to both sides.

Add '0.7802777781' to each side of the equation.
-1.766666667x + 0.7802777781 + x2 = -0.8333333333 + 0.7802777781

Reorder the terms:
0.7802777781 + -1.766666667x + x2 = -0.8333333333 + 0.7802777781

Combine like terms: -0.8333333333 + 0.7802777781 = -0.0530555552
0.7802777781 + -1.766666667x + x2 = -0.0530555552

Factor a perfect square on the left side:
(x + -0.8833333335)(x + -0.8833333335) = -0.0530555552

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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