20p^2+48p+16=0

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Solution for 20p^2+48p+16=0 equation:


Simplifying
20p2 + 48p + 16 = 0

Reorder the terms:
16 + 48p + 20p2 = 0

Solving
16 + 48p + 20p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + 12p + 5p2) = 0

Factor a trinomial.
4((2 + p)(2 + 5p)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2

Subproblem 2

Set the factor '(2 + 5p)' equal to zero and attempt to solve: Simplifying 2 + 5p = 0 Solving 2 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5p = 0 + -2 5p = 0 + -2 Combine like terms: 0 + -2 = -2 5p = -2 Divide each side by '5'. p = -0.4 Simplifying p = -0.4

Solution

p = {-2, -0.4}

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