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Simplifying
1 + p(6 + -4p) + -6p = 0
1 + (6 * p + -4p * p) + -6p = 0
1 + (6p + -4p2) + -6p = 0
Reorder the terms:
1 + 6p + -6p + -4p2 = 0
Combine like terms: 6p + -6p = 0
1 + 0 + -4p2 = 0
1 + -4p2 = 0
Solving
1 + -4p2 = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -4p2 = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -4p2 = 0 + -1
-4p2 = 0 + -1
Combine like terms: 0 + -1 = -1
-4p2 = -1
Divide each side by '-4'.
p2 = 0.25
Simplifying
p2 = 0.25
Take the square root of each side:
p = {-0.5, 0.5}
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