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Simplifying -32s2 + 80st + -50t2 = 0 Reorder the terms: 80st + -32s2 + -50t2 = 0 Solving 80st + -32s2 + -50t2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(40st + -16s2 + -25t2) = 0 Factor a trinomial. 2((-4s + 5t)(4s + -5t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4s + 5t)' equal to zero and attempt to solve: Simplifying -4s + 5t = 0 Solving -4s + 5t = 0 Move all terms containing s to the left, all other terms to the right. Add '-5t' to each side of the equation. -4s + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 -4s + 0 = 0 + -5t -4s = 0 + -5t Remove the zero: -4s = -5t Divide each side by '-4'. s = 1.25t Simplifying s = 1.25tSubproblem 2
Set the factor '(4s + -5t)' equal to zero and attempt to solve: Simplifying 4s + -5t = 0 Solving 4s + -5t = 0 Move all terms containing s to the left, all other terms to the right. Add '5t' to each side of the equation. 4s + -5t + 5t = 0 + 5t Combine like terms: -5t + 5t = 0 4s + 0 = 0 + 5t 4s = 0 + 5t Remove the zero: 4s = 5t Divide each side by '4'. s = 1.25t Simplifying s = 1.25tSolution
s = {1.25t, 1.25t}
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