a^2-31-2a=-6-3a^2-2a

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Solution for a^2-31-2a=-6-3a^2-2a equation: 


Simplifying
a2 + -31 + -2a = -6 + -3a2 + -2a

Reorder the terms:
-31 + -2a + a2 = -6 + -3a2 + -2a

Reorder the terms:
-31 + -2a + a2 = -6 + -2a + -3a2

Add '2a' to each side of the equation.
-31 + -2a + 2a + a2 = -6 + -2a + 2a + -3a2

Combine like terms: -2a + 2a = 0
-31 + 0 + a2 = -6 + -2a + 2a + -3a2
-31 + a2 = -6 + -2a + 2a + -3a2

Combine like terms: -2a + 2a = 0
-31 + a2 = -6 + 0 + -3a2
-31 + a2 = -6 + -3a2

Solving
-31 + a2 = -6 + -3a2

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '3a2' to each side of the equation.
-31 + a2 + 3a2 = -6 + -3a2 + 3a2

Combine like terms: a2 + 3a2 = 4a2
-31 + 4a2 = -6 + -3a2 + 3a2

Combine like terms: -3a2 + 3a2 = 0
-31 + 4a2 = -6 + 0
-31 + 4a2 = -6

Add '31' to each side of the equation.
-31 + 31 + 4a2 = -6 + 31

Combine like terms: -31 + 31 = 0
0 + 4a2 = -6 + 31
4a2 = -6 + 31

Combine like terms: -6 + 31 = 25
4a2 = 25

Divide each side by '4'.
a2 = 6.25

Simplifying
a2 = 6.25

Take the square root of each side:
a = {-2.5, 2.5}

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