(3a^2-2a+1)+(a^2+2a-3)=

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Solution for (3a^2-2a+1)+(a^2+2a-3)= equation: 


Simplifying
(3a2 + -2a + 1) + (a2 + 2a + -3) = 0

Reorder the terms:
(1 + -2a + 3a2) + (a2 + 2a + -3) = 0

Remove parenthesis around (1 + -2a + 3a2)
1 + -2a + 3a2 + (a2 + 2a + -3) = 0

Reorder the terms:
1 + -2a + 3a2 + (-3 + 2a + a2) = 0

Remove parenthesis around (-3 + 2a + a2)
1 + -2a + 3a2 + -3 + 2a + a2 = 0

Reorder the terms:
1 + -3 + -2a + 2a + 3a2 + a2 = 0

Combine like terms: 1 + -3 = -2
-2 + -2a + 2a + 3a2 + a2 = 0

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

Combine like terms: 3a2 + a2 = 4a2
-2 + 4a2 = 0

Solving
-2 + 4a2 = 0

Solving for variable 'a'.

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

Add '2' to each side of the equation.
-2 + 2 + 4a2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 4a2 = 0 + 2
4a2 = 0 + 2

Combine like terms: 0 + 2 = 2
4a2 = 2

Divide each side by '4'.
a2 = 0.5

Simplifying
a2 = 0.5

Take the square root of each side:
a = {-0.707106781, 0.707106781}

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