c^2+17cg+70g^2=

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Solution for c^2+17cg+70g^2= equation:


Simplifying
c2 + 17cg + 70g2 = 0

Reorder the terms:
17cg + c2 + 70g2 = 0

Solving
17cg + c2 + 70g2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + 7g)(c + 10g) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(c + 10g)' equal to zero and attempt to solve: Simplifying c + 10g = 0 Solving c + 10g = 0 Move all terms containing c to the left, all other terms to the right. Add '-10g' to each side of the equation. c + 10g + -10g = 0 + -10g Combine like terms: 10g + -10g = 0 c + 0 = 0 + -10g c = 0 + -10g Remove the zero: c = -10g Simplifying c = -10g

Solution

c = {-7g, -10g}

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