-36p^2+36p+280=0

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Solution for -36p^2+36p+280=0 equation:


Simplifying
-36p2 + 36p + 280 = 0

Reorder the terms:
280 + 36p + -36p2 = 0

Solving
280 + 36p + -36p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(70 + 9p + -9p2) = 0

Factor a trinomial.
4((10 + -3p)(7 + 3p)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(10 + -3p)' equal to zero and attempt to solve: Simplifying 10 + -3p = 0 Solving 10 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3p = 0 + -10 -3p = 0 + -10 Combine like terms: 0 + -10 = -10 -3p = -10 Divide each side by '-3'. p = 3.333333333 Simplifying p = 3.333333333

Subproblem 2

Set the factor '(7 + 3p)' equal to zero and attempt to solve: Simplifying 7 + 3p = 0 Solving 7 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3p = 0 + -7 3p = 0 + -7 Combine like terms: 0 + -7 = -7 3p = -7 Divide each side by '3'. p = -2.333333333 Simplifying p = -2.333333333

Solution

p = {3.333333333, -2.333333333}

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