c^2+3ch-28h^2=0

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Solution for c^2+3ch-28h^2=0 equation: 


Simplifying
c2 + 3ch + -28h2 = 0

Reorder the terms:
3ch + c2 + -28h2 = 0

Solving
3ch + c2 + -28h2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -4h)(c + 7h) = 0


Subproblem 1
Set the factor '(c + -4h)' equal to zero and attempt to solve:

Simplifying
c + -4h = 0

Solving
c + -4h = 0

Move all terms containing c to the left, all other terms to the right.

Add '4h' to each side of the equation.
c + -4h + 4h = 0 + 4h

Combine like terms: -4h + 4h = 0
c + 0 = 0 + 4h
c = 0 + 4h
Remove the zero:
c = 4h

Simplifying
c = 4h

Subproblem 2
Set the factor '(c + 7h)' equal to zero and attempt to solve:

Simplifying
c + 7h = 0

Solving
c + 7h = 0

Move all terms containing c to the left, all other terms to the right.

Add '-7h' to each side of the equation.
c + 7h + -7h = 0 + -7h

Combine like terms: 7h + -7h = 0
c + 0 = 0 + -7h
c = 0 + -7h
Remove the zero:
c = -7h

Simplifying
c = -7h
Solution
c = {4h, -7h}

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