5p^2-25=4p^2+25

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Solution for 5p^2-25=4p^2+25 equation: 


Simplifying
5p2 + -25 = 4p2 + 25

Reorder the terms:
-25 + 5p2 = 4p2 + 25

Reorder the terms:
-25 + 5p2 = 25 + 4p2

Solving
-25 + 5p2 = 25 + 4p2

Solving for variable 'p'.

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

Add '-4p2' to each side of the equation.
-25 + 5p2 + -4p2 = 25 + 4p2 + -4p2

Combine like terms: 5p2 + -4p2 = 1p2
-25 + 1p2 = 25 + 4p2 + -4p2

Combine like terms: 4p2 + -4p2 = 0
-25 + 1p2 = 25 + 0
-25 + 1p2 = 25

Add '25' to each side of the equation.
-25 + 25 + 1p2 = 25 + 25

Combine like terms: -25 + 25 = 0
0 + 1p2 = 25 + 25
1p2 = 25 + 25

Combine like terms: 25 + 25 = 50
1p2 = 50

Divide each side by '1'.
p2 = 50

Simplifying
p2 = 50

Take the square root of each side:
p = {-7.071067812, 7.071067812}

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