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Simplifying (2x + 5t)(s + -4t) = 0 Reorder the terms: (5t + 2x)(s + -4t) = 0 Multiply (5t + 2x) * (s + -4t) (5t * (s + -4t) + 2x * (s + -4t)) = 0 ((s * 5t + -4t * 5t) + 2x * (s + -4t)) = 0 ((5st + -20t2) + 2x * (s + -4t)) = 0 (5st + -20t2 + (s * 2x + -4t * 2x)) = 0 (5st + -20t2 + (2sx + -8tx)) = 0 Reorder the terms: (5st + 2sx + -8tx + -20t2) = 0 (5st + 2sx + -8tx + -20t2) = 0 Solving 5st + 2sx + -8tx + -20t2 = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '8tx' to each side of the equation. 5st + 2sx + -8tx + 8tx + -20t2 = 0 + 8tx Combine like terms: -8tx + 8tx = 0 5st + 2sx + 0 + -20t2 = 0 + 8tx 5st + 2sx + -20t2 = 0 + 8tx Remove the zero: 5st + 2sx + -20t2 = 8tx Add '20t2' to each side of the equation. 5st + 2sx + -20t2 + 20t2 = 8tx + 20t2 Combine like terms: -20t2 + 20t2 = 0 5st + 2sx + 0 = 8tx + 20t2 5st + 2sx = 8tx + 20t2 Reorder the terms: 5st + 2sx + -8tx + -20t2 = 8tx + -8tx + 20t2 + -20t2 Combine like terms: 8tx + -8tx = 0 5st + 2sx + -8tx + -20t2 = 0 + 20t2 + -20t2 5st + 2sx + -8tx + -20t2 = 20t2 + -20t2 Combine like terms: 20t2 + -20t2 = 0 5st + 2sx + -8tx + -20t2 = 0 The solution to this equation could not be determined.
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