32x^2-94x+225=0

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Solution for 32x^2-94x+225=0 equation:


Simplifying
32x2 + -94x + 225 = 0

Reorder the terms:
225 + -94x + 32x2 = 0

Solving
225 + -94x + 32x2 = 0

Solving for variable 'x'.

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

Divide each side by '32'.
7.03125 + -2.9375x + x2 = 0

Move the constant term to the right:

Add '-7.03125' to each side of the equation.
7.03125 + -2.9375x + -7.03125 + x2 = 0 + -7.03125

Reorder the terms:
7.03125 + -7.03125 + -2.9375x + x2 = 0 + -7.03125

Combine like terms: 7.03125 + -7.03125 = 0.00000
0.00000 + -2.9375x + x2 = 0 + -7.03125
-2.9375x + x2 = 0 + -7.03125

Combine like terms: 0 + -7.03125 = -7.03125
-2.9375x + x2 = -7.03125

The x term is -2.9375x.  Take half its coefficient (-1.46875).
Square it (2.157226563) and add it to both sides.

Add '2.157226563' to each side of the equation.
-2.9375x + 2.157226563 + x2 = -7.03125 + 2.157226563

Reorder the terms:
2.157226563 + -2.9375x + x2 = -7.03125 + 2.157226563

Combine like terms: -7.03125 + 2.157226563 = -4.874023437
2.157226563 + -2.9375x + x2 = -4.874023437

Factor a perfect square on the left side:
(x + -1.46875)(x + -1.46875) = -4.874023437

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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