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Simplifying 24x4a2 + 30x2a3 = 6x2a2 Solving 24a2x4 + 30a3x2 = 6a2x2 Solving for variable 'a'. Reorder the terms: -6a2x2 + 24a2x4 + 30a3x2 = 6a2x2 + -6a2x2 Combine like terms: 6a2x2 + -6a2x2 = 0 -6a2x2 + 24a2x4 + 30a3x2 = 0 Factor out the Greatest Common Factor (GCF), '6a2x2'. 6a2x2(-1 + 4x2 + 5a) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'a2x2' equal to zero and attempt to solve: Simplifying a2x2 = 0 Solving a2x2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2x2 = 0 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 '(-1 + 4x2 + 5a)' equal to zero and attempt to solve: Simplifying -1 + 4x2 + 5a = 0 Reorder the terms: -1 + 5a + 4x2 = 0 Solving -1 + 5a + 4x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 5a + 1 + 4x2 = 0 + 1 Reorder the terms: -1 + 1 + 5a + 4x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5a + 4x2 = 0 + 1 5a + 4x2 = 0 + 1 Combine like terms: 0 + 1 = 1 5a + 4x2 = 1 Add '-4x2' to each side of the equation. 5a + 4x2 + -4x2 = 1 + -4x2 Combine like terms: 4x2 + -4x2 = 0 5a + 0 = 1 + -4x2 5a = 1 + -4x2 Divide each side by '5'. a = 0.2 + -0.8x2 Simplifying a = 0.2 + -0.8x2Solution
a = {0.2 + -0.8x2}
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