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Simplifying 36p2 + 12p + 1 = 0 Reorder the terms: 1 + 12p + 36p2 = 0 Solving 1 + 12p + 36p2 = 0 Solving for variable 'p'. Factor a trinomial. (1 + 6p)(1 + 6p) = 0Subproblem 1
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 = -0.1666666667Subproblem 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 = -0.1666666667Solution
p = {-0.1666666667, -0.1666666667}
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