0=9p^2+37p

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Solution for 0=9p^2+37p equation:


Simplifying
0 = 9p2 + 37p

Reorder the terms:
0 = 37p + 9p2

Solving
0 = 37p + 9p2

Solving for variable 'p'.
Remove the zero:
-37p + -9p2 = 37p + 9p2 + -37p + -9p2

Reorder the terms:
-37p + -9p2 = 37p + -37p + 9p2 + -9p2

Combine like terms: 37p + -37p = 0
-37p + -9p2 = 0 + 9p2 + -9p2
-37p + -9p2 = 9p2 + -9p2

Combine like terms: 9p2 + -9p2 = 0
-37p + -9p2 = 0

Factor out the Greatest Common Factor (GCF), '-1p'.
-1p(37 + 9p) = 0

Ignore the factor -1.

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 '(37 + 9p)' equal to zero and attempt to solve: Simplifying 37 + 9p = 0 Solving 37 + 9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 9p = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 9p = 0 + -37 9p = 0 + -37 Combine like terms: 0 + -37 = -37 9p = -37 Divide each side by '9'. p = -4.111111111 Simplifying p = -4.111111111

Solution

p = {0, -4.111111111}

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