32x^2-24x+18=0

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Solution for 32x^2-24x+18=0 equation: 


Simplifying
32x2 + -24x + 18 = 0

Reorder the terms:
18 + -24x + 32x2 = 0

Solving
18 + -24x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -12x + 16x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(9 + -12x + 16x2)' equal to zero and attempt to solve:

Simplifying
9 + -12x + 16x2 = 0

Solving
9 + -12x + 16x2 = 0

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

Divide each side by '16'.
0.5625 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-0.5625' to each side of the equation.
0.5625 + -0.75x + -0.5625 + x2 = 0 + -0.5625

Reorder the terms:
0.5625 + -0.5625 + -0.75x + x2 = 0 + -0.5625

Combine like terms: 0.5625 + -0.5625 = 0.0000
0.0000 + -0.75x + x2 = 0 + -0.5625
-0.75x + x2 = 0 + -0.5625

Combine like terms: 0 + -0.5625 = -0.5625
-0.75x + x2 = -0.5625

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -0.5625 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -0.5625 + 0.140625

Combine like terms: -0.5625 + 0.140625 = -0.421875
0.140625 + -0.75x + x2 = -0.421875

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -0.421875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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