16s^2+56s+49=0

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Solution for 16s^2+56s+49=0 equation:


Simplifying
16s2 + 56s + 49 = 0

Reorder the terms:
49 + 56s + 16s2 = 0

Solving
49 + 56s + 16s2 = 0

Solving for variable 's'.

Factor a trinomial.
(7 + 4s)(7 + 4s) = 0

Subproblem 1

Set the factor '(7 + 4s)' equal to zero and attempt to solve: Simplifying 7 + 4s = 0 Solving 7 + 4s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4s = 0 + -7 4s = 0 + -7 Combine like terms: 0 + -7 = -7 4s = -7 Divide each side by '4'. s = -1.75 Simplifying s = -1.75

Subproblem 2

Set the factor '(7 + 4s)' equal to zero and attempt to solve: Simplifying 7 + 4s = 0 Solving 7 + 4s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4s = 0 + -7 4s = 0 + -7 Combine like terms: 0 + -7 = -7 4s = -7 Divide each side by '4'. s = -1.75 Simplifying s = -1.75

Solution

s = {-1.75, -1.75}

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