4w^2-12wg+9g^2=

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Solution for 4w^2-12wg+9g^2= equation:


Simplifying
4w2 + -12wg + 9g2 = 0

Reorder the terms:
-12gw + 9g2 + 4w2 = 0

Solving
-12gw + 9g2 + 4w2 = 0

Solving for variable 'g'.

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

Subproblem 1

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

Subproblem 2

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

Solution

g = {0.6666666667w, 0.6666666667w}

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