49s^2-56s=-16

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Solution for 49s^2-56s=-16 equation:


Simplifying
49s2 + -56s = -16

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

Solving
-56s + 49s2 = -16

Solving for variable 's'.

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

Combine like terms: -16 + 16 = 0
16 + -56s + 49s2 = 0

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

Subproblem 1

Set the factor '(4 + -7s)' equal to zero and attempt to solve: Simplifying 4 + -7s = 0 Solving 4 + -7s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7s = 0 + -4 -7s = 0 + -4 Combine like terms: 0 + -4 = -4 -7s = -4 Divide each side by '-7'. s = 0.5714285714 Simplifying s = 0.5714285714

Subproblem 2

Set the factor '(4 + -7s)' equal to zero and attempt to solve: Simplifying 4 + -7s = 0 Solving 4 + -7s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7s = 0 + -4 -7s = 0 + -4 Combine like terms: 0 + -4 = -4 -7s = -4 Divide each side by '-7'. s = 0.5714285714 Simplifying s = 0.5714285714

Solution

s = {0.5714285714, 0.5714285714}

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