2s-2s^2=2

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


Simplifying
2s + -2s2 = 2

Solving
2s + -2s2 = 2

Solving for variable 's'.

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + s + -1s2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + s + -1s2)' equal to zero and attempt to solve: Simplifying -1 + s + -1s2 = 0 Solving -1 + s + -1s2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 1 + -1s + s2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1s + -1 + s2 = 0 + -1 Reorder the terms: 1 + -1 + -1s + s2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s + s2 = 0 + -1 -1s + s2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1s + s2 = -1 The s term is s. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1s + 0.25 + s2 = -1 + 0.25 Reorder the terms: 0.25 + -1s + s2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + -1s + s2 = -0.75 Factor a perfect square on the left side: (s + 0.5)(s + 0.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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