(49p^2+28p+4)=0

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Solution for (49p^2+28p+4)=0 equation:


Simplifying
(49p2 + 28p + 4) = 0

Reorder the terms:
(4 + 28p + 49p2) = 0

Remove parenthesis around (4 + 28p + 49p2)
4 + 28p + 49p2 = 0

Solving
4 + 28p + 49p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(2 + 7p)(2 + 7p) = 0

Subproblem 1

Set the factor '(2 + 7p)' equal to zero and attempt to solve: Simplifying 2 + 7p = 0 Solving 2 + 7p = 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 + 7p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7p = 0 + -2 7p = 0 + -2 Combine like terms: 0 + -2 = -2 7p = -2 Divide each side by '7'. p = -0.2857142857 Simplifying p = -0.2857142857

Subproblem 2

Set the factor '(2 + 7p)' equal to zero and attempt to solve: Simplifying 2 + 7p = 0 Solving 2 + 7p = 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 + 7p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7p = 0 + -2 7p = 0 + -2 Combine like terms: 0 + -2 = -2 7p = -2 Divide each side by '7'. p = -0.2857142857 Simplifying p = -0.2857142857

Solution

p = {-0.2857142857, -0.2857142857}

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