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Simplifying a2 + -14at + 49t2 = 0 Reorder the terms: -14at + a2 + 49t2 = 0 Solving -14at + a2 + 49t2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -7t)(a + -7t) = 0Subproblem 1
Set the factor '(a + -7t)' equal to zero and attempt to solve: Simplifying a + -7t = 0 Solving a + -7t = 0 Move all terms containing a to the left, all other terms to the right. Add '7t' to each side of the equation. a + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 a + 0 = 0 + 7t a = 0 + 7t Remove the zero: a = 7t Simplifying a = 7tSubproblem 2
Set the factor '(a + -7t)' equal to zero and attempt to solve: Simplifying a + -7t = 0 Solving a + -7t = 0 Move all terms containing a to the left, all other terms to the right. Add '7t' to each side of the equation. a + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 a + 0 = 0 + 7t a = 0 + 7t Remove the zero: a = 7t Simplifying a = 7tSolution
a = {7t, 7t}
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