-6a^2+8a-10=0

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Solution for -6a^2+8a-10=0 equation:


Simplifying
-6a2 + 8a + -10 = 0

Reorder the terms:
-10 + 8a + -6a2 = 0

Solving
-10 + 8a + -6a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 4a + -3a2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + 4a + -3a2)' equal to zero and attempt to solve:

Simplifying
-5 + 4a + -3a2 = 0

Solving
-5 + 4a + -3a2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
1.666666667 + -1.333333333a + a2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -1.333333333a + -1.666666667 + a2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -1.333333333a + a2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -1.333333333a + a2 = 0 + -1.666666667
-1.333333333a + a2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-1.333333333a + a2 = -1.666666667

The a term is -1.333333333a.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333a + 0.4444444442 + a2 = -1.666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333a + a2 = -1.666666667 + 0.4444444442

Combine like terms: -1.666666667 + 0.4444444442 = -1.2222222228
0.4444444442 + -1.333333333a + a2 = -1.2222222228

Factor a perfect square on the left side:
(a + -0.6666666665)(a + -0.6666666665) = -1.2222222228

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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