2a^2b+7ab+3b=

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Solution for 2a^2b+7ab+3b= equation:


Simplifying
2a2b + 7ab + 3b = 0

Reorder the terms:
7ab + 2a2b + 3b = 0

Solving
7ab + 2a2b + 3b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(7a + 2a2 + 3) = 0

Factor a trinomial.
b((2a + 1)(a + 3)) = 0

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(2a + 1)' equal to zero and attempt to solve: Simplifying 2a + 1 = 0 Reorder the terms: 1 + 2a = 0 Solving 1 + 2a = 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 + 2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = 0 + -1 2a = 0 + -1 Combine like terms: 0 + -1 = -1 2a = -1 Divide each side by '2'. a = -0.5 Simplifying a = -0.5

Subproblem 3

Set the factor '(a + 3)' equal to zero and attempt to solve: Simplifying a + 3 = 0 Reorder the terms: 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 = {-0.5, -3}

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