2b^2=-12b-18

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Solution for 2b^2=-12b-18 equation:


Simplifying
2b2 = -12b + -18

Reorder the terms:
2b2 = -18 + -12b

Solving
2b2 = -18 + -12b

Solving for variable 'b'.

Reorder the terms:
18 + 12b + 2b2 = -18 + -12b + 18 + 12b

Reorder the terms:
18 + 12b + 2b2 = -18 + 18 + -12b + 12b

Combine like terms: -18 + 18 = 0
18 + 12b + 2b2 = 0 + -12b + 12b
18 + 12b + 2b2 = -12b + 12b

Combine like terms: -12b + 12b = 0
18 + 12b + 2b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 6b + b2) = 0

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

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

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

Solution

b = {-3, -3}

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