(7a^2-3a)-(5a^2-5a)=

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Solution for (7a^2-3a)-(5a^2-5a)= equation:


Simplifying
(7a2 + -3a) + -1(5a2 + -5a) = 0

Reorder the terms:
(-3a + 7a2) + -1(5a2 + -5a) = 0

Remove parenthesis around (-3a + 7a2)
-3a + 7a2 + -1(5a2 + -5a) = 0

Reorder the terms:
-3a + 7a2 + -1(-5a + 5a2) = 0
-3a + 7a2 + (-5a * -1 + 5a2 * -1) = 0
-3a + 7a2 + (5a + -5a2) = 0

Reorder the terms:
-3a + 5a + 7a2 + -5a2 = 0

Combine like terms: -3a + 5a = 2a
2a + 7a2 + -5a2 = 0

Combine like terms: 7a2 + -5a2 = 2a2
2a + 2a2 = 0

Solving
2a + 2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(1 + a) = 0

Ignore the factor 2.

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 '(1 + a)' equal to zero and attempt to solve: Simplifying 1 + a = 0 Solving 1 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a = 0 + -1 a = 0 + -1 Combine like terms: 0 + -1 = -1 a = -1 Simplifying a = -1

Solution

a = {0, -1}

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