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Simplifying 56s2 + 23st + -63t2 = 0 Reorder the terms: 23st + 56s2 + -63t2 = 0 Solving 23st + 56s2 + -63t2 = 0 Solving for variable 's'. Factor a trinomial. (8s + -7t)(7s + 9t) = 0Subproblem 1
Set the factor '(8s + -7t)' equal to zero and attempt to solve: Simplifying 8s + -7t = 0 Solving 8s + -7t = 0 Move all terms containing s to the left, all other terms to the right. Add '7t' to each side of the equation. 8s + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 8s + 0 = 0 + 7t 8s = 0 + 7t Remove the zero: 8s = 7t Divide each side by '8'. s = 0.875t Simplifying s = 0.875tSubproblem 2
Set the factor '(7s + 9t)' equal to zero and attempt to solve: Simplifying 7s + 9t = 0 Solving 7s + 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 + 9t + -9t = 0 + -9t Combine like terms: 9t + -9t = 0 7s + 0 = 0 + -9t 7s = 0 + -9t Remove the zero: 7s = -9t Divide each side by '7'. s = -1.285714286t Simplifying s = -1.285714286tSolution
s = {0.875t, -1.285714286t}
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