2s^2-7=13s

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Solution for 2s^2-7=13s equation:


Simplifying
2s2 + -7 = 13s

Reorder the terms:
-7 + 2s2 = 13s

Solving
-7 + 2s2 = 13s

Solving for variable 's'.

Reorder the terms:
-7 + -13s + 2s2 = 13s + -13s

Combine like terms: 13s + -13s = 0
-7 + -13s + 2s2 = 0

Factor a trinomial.
(-1 + -2s)(7 + -1s) = 0

Subproblem 1

Set the factor '(-1 + -2s)' equal to zero and attempt to solve: Simplifying -1 + -2s = 0 Solving -1 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2s = 0 + 1 -2s = 0 + 1 Combine like terms: 0 + 1 = 1 -2s = 1 Divide each side by '-2'. s = -0.5 Simplifying s = -0.5

Subproblem 2

Set the factor '(7 + -1s)' equal to zero and attempt to solve: Simplifying 7 + -1s = 0 Solving 7 + -1s = 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 + -1s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1s = 0 + -7 -1s = 0 + -7 Combine like terms: 0 + -7 = -7 -1s = -7 Divide each side by '-1'. s = 7 Simplifying s = 7

Solution

s = {-0.5, 7}

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