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Simplifying
4p2 + -9 + 6p = 6p
Reorder the terms:
-9 + 6p + 4p2 = 6p
Add '-6p' to each side of the equation.
-9 + 6p + -6p + 4p2 = 6p + -6p
Combine like terms: 6p + -6p = 0
-9 + 0 + 4p2 = 6p + -6p
-9 + 4p2 = 6p + -6p
Combine like terms: 6p + -6p = 0
-9 + 4p2 = 0
Solving
-9 + 4p2 = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 4p2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 4p2 = 0 + 9
4p2 = 0 + 9
Combine like terms: 0 + 9 = 9
4p2 = 9
Divide each side by '4'.
p2 = 2.25
Simplifying
p2 = 2.25
Take the square root of each side:
p = {-1.5, 1.5}
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