12p^2+26p+4=

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Solution for 12p^2+26p+4= equation:


Simplifying
12p2 + 26p + 4 = 0

Reorder the terms:
4 + 26p + 12p2 = 0

Solving
4 + 26p + 12p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 13p + 6p2) = 0

Factor a trinomial.
2((2 + p)(1 + 6p)) = 0

Ignore the factor 2.

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 '(1 + 6p)' equal to zero and attempt to solve: Simplifying 1 + 6p = 0 Solving 1 + 6p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6p = 0 + -1 6p = 0 + -1 Combine like terms: 0 + -1 = -1 6p = -1 Divide each side by '6'. p = -0.1666666667 Simplifying p = -0.1666666667

Solution

p = {-2, -0.1666666667}

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