25x^2-3x+16=0

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Solution for 25x^2-3x+16=0 equation:


Simplifying
25x2 + -3x + 16 = 0

Reorder the terms:
16 + -3x + 25x2 = 0

Solving
16 + -3x + 25x2 = 0

Solving for variable 'x'.

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

Divide each side by '25'.
0.64 + -0.12x + x2 = 0

Move the constant term to the right:

Add '-0.64' to each side of the equation.
0.64 + -0.12x + -0.64 + x2 = 0 + -0.64

Reorder the terms:
0.64 + -0.64 + -0.12x + x2 = 0 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
0.00 + -0.12x + x2 = 0 + -0.64
-0.12x + x2 = 0 + -0.64

Combine like terms: 0 + -0.64 = -0.64
-0.12x + x2 = -0.64

The x term is -0.12x.  Take half its coefficient (-0.06).
Square it (0.0036) and add it to both sides.

Add '0.0036' to each side of the equation.
-0.12x + 0.0036 + x2 = -0.64 + 0.0036

Reorder the terms:
0.0036 + -0.12x + x2 = -0.64 + 0.0036

Combine like terms: -0.64 + 0.0036 = -0.6364
0.0036 + -0.12x + x2 = -0.6364

Factor a perfect square on the left side:
(x + -0.06)(x + -0.06) = -0.6364

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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