5p^2y^2-6y+2=0

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Solution for 5p^2y^2-6y+2=0 equation:


Simplifying
5p2y2 + -6y + 2 = 0

Reorder the terms:
2 + 5p2y2 + -6y = 0

Solving
2 + 5p2y2 + -6y = 0

Solving for variable 'p'.

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

Add '-2' to each side of the equation.
2 + 5p2y2 + -2 + -6y = 0 + -2

Reorder the terms:
2 + -2 + 5p2y2 + -6y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5p2y2 + -6y = 0 + -2
5p2y2 + -6y = 0 + -2

Combine like terms: 0 + -2 = -2
5p2y2 + -6y = -2

Add '6y' to each side of the equation.
5p2y2 + -6y + 6y = -2 + 6y

Combine like terms: -6y + 6y = 0
5p2y2 + 0 = -2 + 6y
5p2y2 = -2 + 6y

Divide each side by '5y2'.
p2 = -0.4y-2 + 1.2y-1

Simplifying
p2 = -0.4y-2 + 1.2y-1

Reorder the terms:
p2 + 0.4y-2 + -1.2y-1 = -0.4y-2 + 0.4y-2 + 1.2y-1 + -1.2y-1

Combine like terms: -0.4y-2 + 0.4y-2 = 0.0
p2 + 0.4y-2 + -1.2y-1 = 0.0 + 1.2y-1 + -1.2y-1
p2 + 0.4y-2 + -1.2y-1 = 1.2y-1 + -1.2y-1

Combine like terms: 1.2y-1 + -1.2y-1 = 0.0
p2 + 0.4y-2 + -1.2y-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'y-2'.
y-2(p2y2 + 0.4 + -1.2y) = 0.0

Subproblem 1

Set the factor 'y-2' equal to zero and attempt to solve: Simplifying y-2 = 0 Solving y-2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-1y-2' to each side of the equation. y-2 + -1y-2 = 0 + -1y-2 Remove the zero: 0 = -1y-2 Simplifying 0 = -1y-2 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 '(p2y2 + 0.4 + -1.2y)' equal to zero and attempt to solve: Simplifying p2y2 + 0.4 + -1.2y = 0 Reorder the terms: 0.4 + p2y2 + -1.2y = 0 Solving 0.4 + p2y2 + -1.2y = 0 Move all terms containing p to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + p2y2 + -0.4 + -1.2y = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + p2y2 + -1.2y = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + p2y2 + -1.2y = 0 + -0.4 p2y2 + -1.2y = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 p2y2 + -1.2y = -0.4 Add '1.2y' to each side of the equation. p2y2 + -1.2y + 1.2y = -0.4 + 1.2y Combine like terms: -1.2y + 1.2y = 0.0 p2y2 + 0.0 = -0.4 + 1.2y p2y2 = -0.4 + 1.2y Divide each side by 'y2'. p2 = -0.4y-2 + 1.2y-1 Simplifying p2 = -0.4y-2 + 1.2y-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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