16c^4-g^4=

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Solution for 16c^4-g^4= equation:


Simplifying
16c4 + -1g4 = 0

Solving
16c4 + -1g4 = 0

Solving for variable 'c'.

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

Add 'g4' to each side of the equation.
16c4 + -1g4 + g4 = 0 + g4

Combine like terms: -1g4 + g4 = 0
16c4 + 0 = 0 + g4
16c4 = 0 + g4
Remove the zero:
16c4 = g4

Divide each side by '16'.
c4 = 0.0625g4

Simplifying
c4 = 0.0625g4

Combine like terms: 0.0625g4 + -0.0625g4 = 0.0000
c4 + -0.0625g4 = 0.0000

Factor a difference between two squares.
(c2 + 0.25g2)(c2 + -0.25g2) = 0.0000

Factor a difference between two squares.
(c2 + 0.25g2)((c + 0.5g)(c + -0.5g)) = 0.0000

Subproblem 1

Set the factor '(c2 + 0.25g2)' equal to zero and attempt to solve: Simplifying c2 + 0.25g2 = 0 Solving c2 + 0.25g2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-0.25g2' to each side of the equation. c2 + 0.25g2 + -0.25g2 = 0 + -0.25g2 Combine like terms: 0.25g2 + -0.25g2 = 0.00 c2 + 0.00 = 0 + -0.25g2 c2 = 0 + -0.25g2 Remove the zero: c2 = -0.25g2 Simplifying c2 = -0.25g2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(c + 0.5g)' equal to zero and attempt to solve: Simplifying c + 0.5g = 0 Solving c + 0.5g = 0 Move all terms containing c to the left, all other terms to the right. Add '-0.5g' to each side of the equation. c + 0.5g + -0.5g = 0 + -0.5g Combine like terms: 0.5g + -0.5g = 0.0 c + 0.0 = 0 + -0.5g c = 0 + -0.5g Remove the zero: c = -0.5g Simplifying c = -0.5g

Subproblem 3

Set the factor '(c + -0.5g)' equal to zero and attempt to solve: Simplifying c + -0.5g = 0 Solving c + -0.5g = 0 Move all terms containing c to the left, all other terms to the right. Add '0.5g' to each side of the equation. c + -0.5g + 0.5g = 0 + 0.5g Combine like terms: -0.5g + 0.5g = 0.0 c + 0.0 = 0 + 0.5g c = 0 + 0.5g Remove the zero: c = 0.5g Simplifying c = 0.5g

Solution

c = {-0.5g, 0.5g}

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