30x^2-36x+88=0

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Solution for 30x^2-36x+88=0 equation: 


Simplifying
30x2 + -36x + 88 = 0

Reorder the terms:
88 + -36x + 30x2 = 0

Solving
88 + -36x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(44 + -18x + 15x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(44 + -18x + 15x2)' equal to zero and attempt to solve:

Simplifying
44 + -18x + 15x2 = 0

Solving
44 + -18x + 15x2 = 0

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

Divide each side by '15'.
2.933333333 + -1.2x + x2 = 0

Move the constant term to the right:

Add '-2.933333333' to each side of the equation.
2.933333333 + -1.2x + -2.933333333 + x2 = 0 + -2.933333333

Reorder the terms:
2.933333333 + -2.933333333 + -1.2x + x2 = 0 + -2.933333333

Combine like terms: 2.933333333 + -2.933333333 = 0.000000000
0.000000000 + -1.2x + x2 = 0 + -2.933333333
-1.2x + x2 = 0 + -2.933333333

Combine like terms: 0 + -2.933333333 = -2.933333333
-1.2x + x2 = -2.933333333

The x term is -1.2x.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2x + 0.36 + x2 = -2.933333333 + 0.36

Reorder the terms:
0.36 + -1.2x + x2 = -2.933333333 + 0.36

Combine like terms: -2.933333333 + 0.36 = -2.573333333
0.36 + -1.2x + x2 = -2.573333333

Factor a perfect square on the left side:
(x + -0.6)(x + -0.6) = -2.573333333

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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