3s-12=6wsquared+15

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Solution for 3s-12=6wsquared+15 equation:


Simplifying
3s + -12 = 6wsquared + 15

Reorder the terms:
-12 + 3s = 6wsquared + 15

Reorder the terms:
-12 + 3s = 15 + 6adeqrsuw

Solving
-12 + 3s = 15 + 6adeqrsuw

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '-6adeqrsuw' to each side of the equation.
-12 + -6adeqrsuw + 3s = 15 + 6adeqrsuw + -6adeqrsuw

Combine like terms: 6adeqrsuw + -6adeqrsuw = 0
-12 + -6adeqrsuw + 3s = 15 + 0
-12 + -6adeqrsuw + 3s = 15

Add '12' to each side of the equation.
-12 + -6adeqrsuw + 12 + 3s = 15 + 12

Reorder the terms:
-12 + 12 + -6adeqrsuw + 3s = 15 + 12

Combine like terms: -12 + 12 = 0
0 + -6adeqrsuw + 3s = 15 + 12
-6adeqrsuw + 3s = 15 + 12

Combine like terms: 15 + 12 = 27
-6adeqrsuw + 3s = 27

Reorder the terms:
-27 + -6adeqrsuw + 3s = 27 + -27

Combine like terms: 27 + -27 = 0
-27 + -6adeqrsuw + 3s = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-9 + -2adeqrsuw + s) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-9 + -2adeqrsuw + s)' equal to zero and attempt to solve: Simplifying -9 + -2adeqrsuw + s = 0 Solving -9 + -2adeqrsuw + s = 0 Move all terms containing s to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -2adeqrsuw + 9 + s = 0 + 9 Reorder the terms: -9 + 9 + -2adeqrsuw + s = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2adeqrsuw + s = 0 + 9 -2adeqrsuw + s = 0 + 9 Combine like terms: 0 + 9 = 9 -2adeqrsuw + s = 9 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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