9a+6ab-(3a)2=

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Solution for 9a+6ab-(3a)2= equation:


Simplifying
9a + 6ab + -1(3a) * 2 = 0

Remove parenthesis around (3a)
9a + 6ab + -1 * 3a * 2 = 0

Reorder the terms for easier multiplication:
9a + 6ab + -1 * 3 * 2a = 0

Multiply -1 * 3
9a + 6ab + -3 * 2a = 0

Multiply -3 * 2
9a + 6ab + -6a = 0

Reorder the terms:
9a + -6a + 6ab = 0

Combine like terms: 9a + -6a = 3a
3a + 6ab = 0

Solving
3a + 6ab = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '3a'.
3a(1 + 2b) = 0

Ignore the factor 3.

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 + 2b)' equal to zero and attempt to solve: Simplifying 1 + 2b = 0 Solving 1 + 2b = 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 + 2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2b = 0 + -1 2b = 0 + -1 Combine like terms: 0 + -1 = -1 2b = -1 Add '-2b' to each side of the equation. 2b + -2b = -1 + -2b Combine like terms: 2b + -2b = 0 0 = -1 + -2b Simplifying 0 = -1 + -2b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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