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Simplifying (5a2 + -6x)(5a2 + -6x) = 0 Multiply (5a2 + -6x) * (5a2 + -6x) (5a2 * (5a2 + -6x) + -6x * (5a2 + -6x)) = 0 ((5a2 * 5a2 + -6x * 5a2) + -6x * (5a2 + -6x)) = 0 Reorder the terms: ((-30a2x + 25a4) + -6x * (5a2 + -6x)) = 0 ((-30a2x + 25a4) + -6x * (5a2 + -6x)) = 0 (-30a2x + 25a4 + (5a2 * -6x + -6x * -6x)) = 0 (-30a2x + 25a4 + (-30a2x + 36x2)) = 0 Reorder the terms: (-30a2x + -30a2x + 25a4 + 36x2) = 0 Combine like terms: -30a2x + -30a2x = -60a2x (-60a2x + 25a4 + 36x2) = 0 Solving -60a2x + 25a4 + 36x2 = 0 Solving for variable 'a'. Factor a trinomial. (5a2 + -6x)(5a2 + -6x) = 0Subproblem 1
Set the factor '(5a2 + -6x)' equal to zero and attempt to solve: Simplifying 5a2 + -6x = 0 Solving 5a2 + -6x = 0 Move all terms containing a to the left, all other terms to the right. Add '6x' to each side of the equation. 5a2 + -6x + 6x = 0 + 6x Combine like terms: -6x + 6x = 0 5a2 + 0 = 0 + 6x 5a2 = 0 + 6x Remove the zero: 5a2 = 6x Divide each side by '5'. a2 = 1.2x Simplifying a2 = 1.2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5a2 + -6x)' equal to zero and attempt to solve: Simplifying 5a2 + -6x = 0 Solving 5a2 + -6x = 0 Move all terms containing a to the left, all other terms to the right. Add '6x' to each side of the equation. 5a2 + -6x + 6x = 0 + 6x Combine like terms: -6x + 6x = 0 5a2 + 0 = 0 + 6x 5a2 = 0 + 6x Remove the zero: 5a2 = 6x Divide each side by '5'. a2 = 1.2x Simplifying a2 = 1.2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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