3yx^2=192

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Solution for 3yx^2=192 equation:


Simplifying
3yx2 = 192

Solving
3x2y = 192

Solving for variable 'x'.

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

Divide each side by '3y'.
x2 = 64y-1

Simplifying
x2 = 64y-1

Combine like terms: 64y-1 + -64y-1 = 0
x2 + -64y-1 = 0

Factor out the Greatest Common Factor (GCF), 'y-1'.
y-1(x2y + -64) = 0

Subproblem 1

Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-1 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 '(x2y + -64)' equal to zero and attempt to solve: Simplifying x2y + -64 = 0 Reorder the terms: -64 + x2y = 0 Solving -64 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + x2y = 0 + 64 Combine like terms: -64 + 64 = 0 0 + x2y = 0 + 64 x2y = 0 + 64 Combine like terms: 0 + 64 = 64 x2y = 64 Divide each side by 'y'. x2 = 64y-1 Simplifying x2 = 64y-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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