16z^2p^2+25z^2a^2+9z^2-81=0

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Solution for 16z^2p^2+25z^2a^2+9z^2-81=0 equation: 


Simplifying
16z2p2 + 25z2a2 + 9z2 + -81 = 0

Reorder the terms:
-81 + 25a2z2 + 16p2z2 + 9z2 = 0

Solving
-81 + 25a2z2 + 16p2z2 + 9z2 = 0

Solving for variable 'a'.

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

Add '81' to each side of the equation.
-81 + 25a2z2 + 16p2z2 + 81 + 9z2 = 0 + 81

Reorder the terms:
-81 + 81 + 25a2z2 + 16p2z2 + 9z2 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 25a2z2 + 16p2z2 + 9z2 = 0 + 81
25a2z2 + 16p2z2 + 9z2 = 0 + 81

Combine like terms: 0 + 81 = 81
25a2z2 + 16p2z2 + 9z2 = 81

Add '-16p2z2' to each side of the equation.
25a2z2 + 16p2z2 + -16p2z2 + 9z2 = 81 + -16p2z2

Combine like terms: 16p2z2 + -16p2z2 = 0
25a2z2 + 0 + 9z2 = 81 + -16p2z2
25a2z2 + 9z2 = 81 + -16p2z2

Add '-9z2' to each side of the equation.
25a2z2 + 9z2 + -9z2 = 81 + -16p2z2 + -9z2

Combine like terms: 9z2 + -9z2 = 0
25a2z2 + 0 = 81 + -16p2z2 + -9z2
25a2z2 = 81 + -16p2z2 + -9z2

Divide each side by '25z2'.
a2 = 3.24z-2 + -0.64p2 + -0.36

Simplifying
a2 = 3.24z-2 + -0.64p2 + -0.36

Reorder the terms:
a2 = -0.36 + -0.64p2 + 3.24z-2

Reorder the terms:
0.36 + a2 + 0.64p2 + -3.24z-2 = -0.36 + -0.64p2 + 3.24z-2 + 0.36 + 0.64p2 + -3.24z-2

Reorder the terms:
0.36 + a2 + 0.64p2 + -3.24z-2 = -0.36 + 0.36 + -0.64p2 + 0.64p2 + 3.24z-2 + -3.24z-2

Combine like terms: -0.36 + 0.36 = 0.00
0.36 + a2 + 0.64p2 + -3.24z-2 = 0.00 + -0.64p2 + 0.64p2 + 3.24z-2 + -3.24z-2
0.36 + a2 + 0.64p2 + -3.24z-2 = -0.64p2 + 0.64p2 + 3.24z-2 + -3.24z-2

Combine like terms: -0.64p2 + 0.64p2 = 0.00
0.36 + a2 + 0.64p2 + -3.24z-2 = 0.00 + 3.24z-2 + -3.24z-2
0.36 + a2 + 0.64p2 + -3.24z-2 = 3.24z-2 + -3.24z-2

Combine like terms: 3.24z-2 + -3.24z-2 = 0.00
0.36 + a2 + 0.64p2 + -3.24z-2 = 0.00

The solution to this equation could not be determined.

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