100c^2+160cg+64g^2=0

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Solution for 100c^2+160cg+64g^2=0 equation:


Simplifying
100c2 + 160cg + 64g2 = 0

Reorder the terms:
160cg + 100c2 + 64g2 = 0

Solving
160cg + 100c2 + 64g2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4'.
4(40cg + 25c2 + 16g2) = 0

Factor a trinomial.
4((5c + 4g)(5c + 4g)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(5c + 4g)' equal to zero and attempt to solve: Simplifying 5c + 4g = 0 Solving 5c + 4g = 0 Move all terms containing c to the left, all other terms to the right. Add '-4g' to each side of the equation. 5c + 4g + -4g = 0 + -4g Combine like terms: 4g + -4g = 0 5c + 0 = 0 + -4g 5c = 0 + -4g Remove the zero: 5c = -4g Divide each side by '5'. c = -0.8g Simplifying c = -0.8g

Subproblem 2

Set the factor '(5c + 4g)' equal to zero and attempt to solve: Simplifying 5c + 4g = 0 Solving 5c + 4g = 0 Move all terms containing c to the left, all other terms to the right. Add '-4g' to each side of the equation. 5c + 4g + -4g = 0 + -4g Combine like terms: 4g + -4g = 0 5c + 0 = 0 + -4g 5c = 0 + -4g Remove the zero: 5c = -4g Divide each side by '5'. c = -0.8g Simplifying c = -0.8g

Solution

c = {-0.8g, -0.8g}

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