49f^2+14f+1=0

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Solution for 49f^2+14f+1=0 equation:


Simplifying
49f2 + 14f + 1 = 0

Reorder the terms:
1 + 14f + 49f2 = 0

Solving
1 + 14f + 49f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(1 + 7f)(1 + 7f) = 0

Subproblem 1

Set the factor '(1 + 7f)' equal to zero and attempt to solve: Simplifying 1 + 7f = 0 Solving 1 + 7f = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7f = 0 + -1 7f = 0 + -1 Combine like terms: 0 + -1 = -1 7f = -1 Divide each side by '7'. f = -0.1428571429 Simplifying f = -0.1428571429

Subproblem 2

Set the factor '(1 + 7f)' equal to zero and attempt to solve: Simplifying 1 + 7f = 0 Solving 1 + 7f = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7f = 0 + -1 7f = 0 + -1 Combine like terms: 0 + -1 = -1 7f = -1 Divide each side by '7'. f = -0.1428571429 Simplifying f = -0.1428571429

Solution

f = {-0.1428571429, -0.1428571429}

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