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Simplifying (2s2 + -5st + -1t2) + -1(s2 + 7st + -1t2) = 0 Reorder the terms: (-5st + 2s2 + -1t2) + -1(s2 + 7st + -1t2) = 0 Remove parenthesis around (-5st + 2s2 + -1t2) -5st + 2s2 + -1t2 + -1(s2 + 7st + -1t2) = 0 Reorder the terms: -5st + 2s2 + -1t2 + -1(7st + s2 + -1t2) = 0 -5st + 2s2 + -1t2 + (7st * -1 + s2 * -1 + -1t2 * -1) = 0 -5st + 2s2 + -1t2 + (-7st + -1s2 + 1t2) = 0 Reorder the terms: -5st + -7st + 2s2 + -1s2 + -1t2 + 1t2 = 0 Combine like terms: -5st + -7st = -12st -12st + 2s2 + -1s2 + -1t2 + 1t2 = 0 Combine like terms: 2s2 + -1s2 = 1s2 -12st + 1s2 + -1t2 + 1t2 = 0 Combine like terms: -1t2 + 1t2 = 0 -12st + 1s2 + 0 = 0 -12st + 1s2 = 0 Solving -12st + 1s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(-12t + s) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-12t + s)' equal to zero and attempt to solve: Simplifying -12t + s = 0 Reorder the terms: s + -12t = 0 Solving s + -12t = 0 Move all terms containing s to the left, all other terms to the right. Add '12t' to each side of the equation. s + -12t + 12t = 0 + 12t Combine like terms: -12t + 12t = 0 s + 0 = 0 + 12t s = 0 + 12t Remove the zero: s = 12t Simplifying s = 12tSolution
s = {0, 12t}
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