0=-6p^2+1800p

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Solution for 0=-6p^2+1800p equation:


Simplifying
0 = -6p2 + 1800p

Reorder the terms:
0 = 1800p + -6p2

Solving
0 = 1800p + -6p2

Solving for variable 'p'.
Remove the zero:
-1800p + 6p2 = 1800p + -6p2 + -1800p + 6p2

Reorder the terms:
-1800p + 6p2 = 1800p + -1800p + -6p2 + 6p2

Combine like terms: 1800p + -1800p = 0
-1800p + 6p2 = 0 + -6p2 + 6p2
-1800p + 6p2 = -6p2 + 6p2

Combine like terms: -6p2 + 6p2 = 0
-1800p + 6p2 = 0

Factor out the Greatest Common Factor (GCF), '6p'.
6p(-300 + p) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0

Subproblem 2

Set the factor '(-300 + p)' equal to zero and attempt to solve: Simplifying -300 + p = 0 Solving -300 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '300' to each side of the equation. -300 + 300 + p = 0 + 300 Combine like terms: -300 + 300 = 0 0 + p = 0 + 300 p = 0 + 300 Combine like terms: 0 + 300 = 300 p = 300 Simplifying p = 300

Solution

p = {0, 300}

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