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Simplifying (7t2 + 2s)(7t2 + 2s) = 0 Reorder the terms: (2s + 7t2)(7t2 + 2s) = 0 Reorder the terms: (2s + 7t2)(2s + 7t2) = 0 Multiply (2s + 7t2) * (2s + 7t2) (2s * (2s + 7t2) + 7t2 * (2s + 7t2)) = 0 ((2s * 2s + 7t2 * 2s) + 7t2 * (2s + 7t2)) = 0 Reorder the terms: ((14st2 + 4s2) + 7t2 * (2s + 7t2)) = 0 ((14st2 + 4s2) + 7t2 * (2s + 7t2)) = 0 (14st2 + 4s2 + (2s * 7t2 + 7t2 * 7t2)) = 0 (14st2 + 4s2 + (14st2 + 49t4)) = 0 Reorder the terms: (14st2 + 14st2 + 4s2 + 49t4) = 0 Combine like terms: 14st2 + 14st2 = 28st2 (28st2 + 4s2 + 49t4) = 0 Solving 28st2 + 4s2 + 49t4 = 0 Solving for variable 's'. Factor a trinomial. (2s + 7t2)(2s + 7t2) = 0Subproblem 1
Set the factor '(2s + 7t2)' equal to zero and attempt to solve: Simplifying 2s + 7t2 = 0 Solving 2s + 7t2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-7t2' to each side of the equation. 2s + 7t2 + -7t2 = 0 + -7t2 Combine like terms: 7t2 + -7t2 = 0 2s + 0 = 0 + -7t2 2s = 0 + -7t2 Remove the zero: 2s = -7t2 Divide each side by '2'. s = -3.5t2 Simplifying s = -3.5t2Subproblem 2
Set the factor '(2s + 7t2)' equal to zero and attempt to solve: Simplifying 2s + 7t2 = 0 Solving 2s + 7t2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-7t2' to each side of the equation. 2s + 7t2 + -7t2 = 0 + -7t2 Combine like terms: 7t2 + -7t2 = 0 2s + 0 = 0 + -7t2 2s = 0 + -7t2 Remove the zero: 2s = -7t2 Divide each side by '2'. s = -3.5t2 Simplifying s = -3.5t2Solution
s = {-3.5t2, -3.5t2}
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