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Simplifying 7at2 + -28a = 0 Reorder the terms: -28a + 7at2 = 0 Solving -28a + 7at2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '7a'. 7a(-4 + t2) = 0 Factor a difference between two squares. 7a((2 + t)(-2 + t)) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(2 + t)' equal to zero and attempt to solve: Simplifying 2 + t = 0 Solving 2 + t = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + t = 0 + -2 t = 0 + -2 Combine like terms: 0 + -2 = -2 t = -2 Add '-1t' to each side of the equation. t + -1t = -2 + -1t Combine like terms: t + -1t = 0 0 = -2 + -1t Simplifying 0 = -2 + -1t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-2 + t)' equal to zero and attempt to solve: Simplifying -2 + t = 0 Solving -2 + t = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + t = 0 + 2 t = 0 + 2 Combine like terms: 0 + 2 = 2 t = 2 Add '-1t' to each side of the equation. t + -1t = 2 + -1t Combine like terms: t + -1t = 0 0 = 2 + -1t Simplifying 0 = 2 + -1t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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