100-2p^2=86

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Solution for 100-2p^2=86 equation:


Simplifying
100 + -2p2 = 86

Solving
100 + -2p2 = 86

Solving for variable 'p'.

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

Add '-100' to each side of the equation.
100 + -100 + -2p2 = 86 + -100

Combine like terms: 100 + -100 = 0
0 + -2p2 = 86 + -100
-2p2 = 86 + -100

Combine like terms: 86 + -100 = -14
-2p2 = -14

Divide each side by '-2'.
p2 = 7

Simplifying
p2 = 7

Take the square root of each side:
p = {-2.645751311, 2.645751311}

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