4a-10=3a^2

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Solution for 4a-10=3a^2 equation:


Simplifying
4a + -10 = 3a2

Reorder the terms:
-10 + 4a = 3a2

Solving
-10 + 4a = 3a2

Solving for variable 'a'.

Combine like terms: 3a2 + -3a2 = 0
-10 + 4a + -3a2 = 0

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

Divide each side by '-3'.
3.333333333 + -1.333333333a + a2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -1.333333333a + -3.333333333 + a2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -1.333333333a + a2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -1.333333333a + a2 = 0 + -3.333333333
-1.333333333a + a2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-1.333333333a + a2 = -3.333333333

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 = -3.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333a + a2 = -3.333333333 + 0.4444444442

Combine like terms: -3.333333333 + 0.4444444442 = -2.8888888888
0.4444444442 + -1.333333333a + a2 = -2.8888888888

Factor a perfect square on the left side:
(a + -0.6666666665)(a + -0.6666666665) = -2.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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