40=36p^2-9

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Solution for 40=36p^2-9 equation: 


Simplifying
40 = 36p2 + -9

Reorder the terms:
40 = -9 + 36p2

Solving
40 = -9 + 36p2

Solving for variable 'p'.

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

Add '-36p2' to each side of the equation.
40 + -36p2 = -9 + 36p2 + -36p2

Combine like terms: 36p2 + -36p2 = 0
40 + -36p2 = -9 + 0
40 + -36p2 = -9

Add '-40' to each side of the equation.
40 + -40 + -36p2 = -9 + -40

Combine like terms: 40 + -40 = 0
0 + -36p2 = -9 + -40
-36p2 = -9 + -40

Combine like terms: -9 + -40 = -49
-36p2 = -49

Divide each side by '-36'.
p2 = 1.361111111

Simplifying
p2 = 1.361111111

Take the square root of each side:
p = {-1.166666667, 1.166666667}

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