2s(t-7)-6t(s+3)=

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Solution for 2s(t-7)-6t(s+3)= equation:


Simplifying
2s(t + -7) + -6t(s + 3) = 0

Reorder the terms:
2s(-7 + t) + -6t(s + 3) = 0
(-7 * 2s + t * 2s) + -6t(s + 3) = 0
(-14s + 2st) + -6t(s + 3) = 0

Reorder the terms:
-14s + 2st + -6t(3 + s) = 0
-14s + 2st + (3 * -6t + s * -6t) = 0

Reorder the terms:
-14s + 2st + (-6st + -18t) = 0
-14s + 2st + (-6st + -18t) = 0

Combine like terms: 2st + -6st = -4st
-14s + -4st + -18t = 0

Solving
-14s + -4st + -18t = 0

Solving for variable 's'.

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

Add '18t' to each side of the equation.
-14s + -4st + -18t + 18t = 0 + 18t

Combine like terms: -18t + 18t = 0
-14s + -4st + 0 = 0 + 18t
-14s + -4st = 0 + 18t
Remove the zero:
-14s + -4st = 18t

Combine like terms: 18t + -18t = 0
-14s + -4st + -18t = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(7s + 2st + 9t) = 0

Ignore the factor -2.

Subproblem 1

Set the factor '(7s + 2st + 9t)' equal to zero and attempt to solve: Simplifying 7s + 2st + 9t = 0 Solving 7s + 2st + 9t = 0 Move all terms containing s to the left, all other terms to the right. Add '-9t' to each side of the equation. 7s + 2st + 9t + -9t = 0 + -9t Combine like terms: 9t + -9t = 0 7s + 2st + 0 = 0 + -9t 7s + 2st = 0 + -9t Remove the zero: 7s + 2st = -9t 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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