9*c^2+42*c*g+49*g^2=

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Solution for 9*c^2+42*c*g+49*g^2= equation:


Simplifying
9c2 + 42c * g + 49g2 = 0

Multiply c * g
9c2 + 42cg + 49g2 = 0

Reorder the terms:
42cg + 9c2 + 49g2 = 0

Solving
42cg + 9c2 + 49g2 = 0

Solving for variable 'c'.

Factor a trinomial.
(3c + 7g)(3c + 7g) = 0

Subproblem 1

Set the factor '(3c + 7g)' equal to zero and attempt to solve: Simplifying 3c + 7g = 0 Solving 3c + 7g = 0 Move all terms containing c to the left, all other terms to the right. Add '-7g' to each side of the equation. 3c + 7g + -7g = 0 + -7g Combine like terms: 7g + -7g = 0 3c + 0 = 0 + -7g 3c = 0 + -7g Remove the zero: 3c = -7g Divide each side by '3'. c = -2.333333333g Simplifying c = -2.333333333g

Subproblem 2

Set the factor '(3c + 7g)' equal to zero and attempt to solve: Simplifying 3c + 7g = 0 Solving 3c + 7g = 0 Move all terms containing c to the left, all other terms to the right. Add '-7g' to each side of the equation. 3c + 7g + -7g = 0 + -7g Combine like terms: 7g + -7g = 0 3c + 0 = 0 + -7g 3c = 0 + -7g Remove the zero: 3c = -7g Divide each side by '3'. c = -2.333333333g Simplifying c = -2.333333333g

Solution

c = {-2.333333333g, -2.333333333g}

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