=3a-(-a^2)

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


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

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

Multiply -1 * -1
0 = 3a + 1a2

Solving
0 = 3a + 1a2

Solving for variable 'a'.
Remove the zero:
-3a + -1a2 = 3a + 1a2 + -3a + -1a2

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

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

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

Factor out the Greatest Common Factor (GCF), '-1a'.
-1a(3 + a) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(3 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3

Solution

a = {0, -3}

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