18b^2+24bg+8g^2=

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Solution for 18b^2+24bg+8g^2= equation:


Simplifying
18b2 + 24bg + 8g2 = 0

Reorder the terms:
24bg + 18b2 + 8g2 = 0

Solving
24bg + 18b2 + 8g2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12bg + 9b2 + 4g2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(3b + 2g)' equal to zero and attempt to solve: Simplifying 3b + 2g = 0 Solving 3b + 2g = 0 Move all terms containing b to the left, all other terms to the right. Add '-2g' to each side of the equation. 3b + 2g + -2g = 0 + -2g Combine like terms: 2g + -2g = 0 3b + 0 = 0 + -2g 3b = 0 + -2g Remove the zero: 3b = -2g Divide each side by '3'. b = -0.6666666667g Simplifying b = -0.6666666667g

Subproblem 2

Set the factor '(3b + 2g)' equal to zero and attempt to solve: Simplifying 3b + 2g = 0 Solving 3b + 2g = 0 Move all terms containing b to the left, all other terms to the right. Add '-2g' to each side of the equation. 3b + 2g + -2g = 0 + -2g Combine like terms: 2g + -2g = 0 3b + 0 = 0 + -2g 3b = 0 + -2g Remove the zero: 3b = -2g Divide each side by '3'. b = -0.6666666667g Simplifying b = -0.6666666667g

Solution

b = {-0.6666666667g, -0.6666666667g}

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