3a^2+4a=2a^2-2a-a

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


Simplifying
3a2 + 4a = 2a2 + -2a + -1a

Reorder the terms:
4a + 3a2 = 2a2 + -2a + -1a

Reorder the terms:
4a + 3a2 = -2a + -1a + 2a2

Combine like terms: -2a + -1a = -3a
4a + 3a2 = -3a + 2a2

Solving
4a + 3a2 = -3a + 2a2

Solving for variable 'a'.

Reorder the terms:
4a + 3a + 3a2 + -2a2 = -3a + 2a2 + 3a + -2a2

Combine like terms: 4a + 3a = 7a
7a + 3a2 + -2a2 = -3a + 2a2 + 3a + -2a2

Combine like terms: 3a2 + -2a2 = 1a2
7a + 1a2 = -3a + 2a2 + 3a + -2a2

Reorder the terms:
7a + 1a2 = -3a + 3a + 2a2 + -2a2

Combine like terms: -3a + 3a = 0
7a + 1a2 = 0 + 2a2 + -2a2
7a + 1a2 = 2a2 + -2a2

Combine like terms: 2a2 + -2a2 = 0
7a + 1a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(7 + a) = 0

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 '(7 + a)' equal to zero and attempt to solve: Simplifying 7 + a = 0 Solving 7 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + a = 0 + -7 a = 0 + -7 Combine like terms: 0 + -7 = -7 a = -7 Simplifying a = -7

Solution

a = {0, -7}

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