3p^2x-3y+9=0

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Solution for 3p^2x-3y+9=0 equation:


Simplifying
3p2x + -3y + 9 = 0

Reorder the terms:
9 + 3p2x + -3y = 0

Solving
9 + 3p2x + -3y = 0

Solving for variable 'p'.

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

Add '-9' to each side of the equation.
9 + 3p2x + -9 + -3y = 0 + -9

Reorder the terms:
9 + -9 + 3p2x + -3y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 3p2x + -3y = 0 + -9
3p2x + -3y = 0 + -9

Combine like terms: 0 + -9 = -9
3p2x + -3y = -9

Add '3y' to each side of the equation.
3p2x + -3y + 3y = -9 + 3y

Combine like terms: -3y + 3y = 0
3p2x + 0 = -9 + 3y
3p2x = -9 + 3y

Divide each side by '3x'.
p2 = -3x-1 + x-1y

Simplifying
p2 = -3x-1 + x-1y

Reorder the terms:
p2 + 3x-1 + -1x-1y = -3x-1 + 3x-1 + x-1y + -1x-1y

Combine like terms: -3x-1 + 3x-1 = 0
p2 + 3x-1 + -1x-1y = 0 + x-1y + -1x-1y
p2 + 3x-1 + -1x-1y = x-1y + -1x-1y

Combine like terms: x-1y + -1x-1y = 0
p2 + 3x-1 + -1x-1y = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(p2x + 3 + -1y) = 0

Subproblem 1

Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing p to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-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 '(p2x + 3 + -1y)' equal to zero and attempt to solve: Simplifying p2x + 3 + -1y = 0 Reorder the terms: 3 + p2x + -1y = 0 Solving 3 + p2x + -1y = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + p2x + -3 + -1y = 0 + -3 Reorder the terms: 3 + -3 + p2x + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p2x + -1y = 0 + -3 p2x + -1y = 0 + -3 Combine like terms: 0 + -3 = -3 p2x + -1y = -3 Add 'y' to each side of the equation. p2x + -1y + y = -3 + y Combine like terms: -1y + y = 0 p2x + 0 = -3 + y p2x = -3 + y Divide each side by 'x'. p2 = -3x-1 + x-1y Simplifying p2 = -3x-1 + x-1y 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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