(6s+5p)(6s-5p)=

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Solution for (6s+5p)(6s-5p)= equation: 


Simplifying
(6s + 5p)(6s + -5p) = 0

Reorder the terms:
(5p + 6s)(6s + -5p) = 0

Reorder the terms:
(5p + 6s)(-5p + 6s) = 0

Multiply (5p + 6s) * (-5p + 6s)
(5p * (-5p + 6s) + 6s * (-5p + 6s)) = 0
((-5p * 5p + 6s * 5p) + 6s * (-5p + 6s)) = 0

Reorder the terms:
((30ps + -25p2) + 6s * (-5p + 6s)) = 0
((30ps + -25p2) + 6s * (-5p + 6s)) = 0
(30ps + -25p2 + (-5p * 6s + 6s * 6s)) = 0
(30ps + -25p2 + (-30ps + 36s2)) = 0

Reorder the terms:
(30ps + -30ps + -25p2 + 36s2) = 0

Combine like terms: 30ps + -30ps = 0
(0 + -25p2 + 36s2) = 0
(-25p2 + 36s2) = 0

Solving
-25p2 + 36s2 = 0

Solving for variable 'p'.

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

Add '-36s2' to each side of the equation.
-25p2 + 36s2 + -36s2 = 0 + -36s2

Combine like terms: 36s2 + -36s2 = 0
-25p2 + 0 = 0 + -36s2
-25p2 = 0 + -36s2
Remove the zero:
-25p2 = -36s2

Divide each side by '-25'.
p2 = 1.44s2

Simplifying
p2 = 1.44s2

Take the square root of each side:
p = {-1.2s, 1.2s}

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