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Simplifying 5a2 + 28at + -49t2 = 0 Reorder the terms: 28at + 5a2 + -49t2 = 0 Solving 28at + 5a2 + -49t2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + -7t)(a + 7t) = 0Subproblem 1
Set the factor '(5a + -7t)' equal to zero and attempt to solve: Simplifying 5a + -7t = 0 Solving 5a + -7t = 0 Move all terms containing a to the left, all other terms to the right. Add '7t' to each side of the equation. 5a + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 5a + 0 = 0 + 7t 5a = 0 + 7t Remove the zero: 5a = 7t Divide each side by '5'. a = 1.4t Simplifying a = 1.4tSubproblem 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 = {1.4t, -7t}
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