s=6(3.14)sh+6(3.14)s^2

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Solution for s=6(3.14)sh+6(3.14)s^2 equation:


Simplifying
s = 6(3.14) * sh + 6(3.14) * s2

Multiply 6 * 3.14
s = 18.84hs + 6(3.14) * s2

Multiply 6 * 3.14
s = 18.84hs + 18.84s2

Solving
s = 18.84hs + 18.84s2

Solving for variable 's'.

Reorder the terms:
-18.84hs + s + -18.84s2 = 18.84hs + 18.84s2 + -18.84hs + -18.84s2

Reorder the terms:
-18.84hs + s + -18.84s2 = 18.84hs + -18.84hs + 18.84s2 + -18.84s2

Combine like terms: 18.84hs + -18.84hs = 0.00
-18.84hs + s + -18.84s2 = 0.00 + 18.84s2 + -18.84s2
-18.84hs + s + -18.84s2 = 18.84s2 + -18.84s2

Combine like terms: 18.84s2 + -18.84s2 = 0.00
-18.84hs + s + -18.84s2 = 0.00

Factor out the Greatest Common Factor (GCF), 's'.
s(-18.84h + 1 + -18.84s) = 0.00

Subproblem 1

Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0

Subproblem 2

Set the factor '(-18.84h + 1 + -18.84s)' equal to zero and attempt to solve: Simplifying -18.84h + 1 + -18.84s = 0 Reorder the terms: 1 + -18.84h + -18.84s = 0 Solving 1 + -18.84h + -18.84s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -18.84h + -1 + -18.84s = 0 + -1 Reorder the terms: 1 + -1 + -18.84h + -18.84s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -18.84h + -18.84s = 0 + -1 -18.84h + -18.84s = 0 + -1 Combine like terms: 0 + -1 = -1 -18.84h + -18.84s = -1 Add '18.84h' to each side of the equation. -18.84h + 18.84h + -18.84s = -1 + 18.84h Combine like terms: -18.84h + 18.84h = 0.00 0.00 + -18.84s = -1 + 18.84h -18.84s = -1 + 18.84h Divide each side by '-18.84'. s = 0.05307855626 + -1h Simplifying s = 0.05307855626 + -1h

Solution

s = {0, 0.05307855626 + -1h}

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