5p^2+6=186

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Solution for 5p^2+6=186 equation: 


Simplifying
5p2 + 6 = 186

Reorder the terms:
6 + 5p2 = 186

Solving
6 + 5p2 = 186

Solving for variable 'p'.

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

Add '-6' to each side of the equation.
6 + -6 + 5p2 = 186 + -6

Combine like terms: 6 + -6 = 0
0 + 5p2 = 186 + -6
5p2 = 186 + -6

Combine like terms: 186 + -6 = 180
5p2 = 180

Divide each side by '5'.
p2 = 36

Simplifying
p2 = 36

Take the square root of each side:
p = {-6, 6}

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