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Simplifying
4p2 + -2 + -1p = 2 + -1p
Reorder the terms:
-2 + -1p + 4p2 = 2 + -1p
Add 'p' to each side of the equation.
-2 + -1p + p + 4p2 = 2 + -1p + p
Combine like terms: -1p + p = 0
-2 + 0 + 4p2 = 2 + -1p + p
-2 + 4p2 = 2 + -1p + p
Combine like terms: -1p + p = 0
-2 + 4p2 = 2 + 0
-2 + 4p2 = 2
Solving
-2 + 4p2 = 2
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 + 2 + 4p2 = 2 + 2
Combine like terms: -2 + 2 = 0
0 + 4p2 = 2 + 2
4p2 = 2 + 2
Combine like terms: 2 + 2 = 4
4p2 = 4
Divide each side by '4'.
p2 = 1
Simplifying
p2 = 1
Take the square root of each side:
p = {-1, 1}
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