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Simplifying 30x4a + 24x2a2 = 6x2a Solving 30ax4 + 24a2x2 = 6ax2 Solving for variable 'a'. Reorder the terms: -6ax2 + 30ax4 + 24a2x2 = 6ax2 + -6ax2 Combine like terms: 6ax2 + -6ax2 = 0 -6ax2 + 30ax4 + 24a2x2 = 0 Factor out the Greatest Common Factor (GCF), '6ax2'. 6ax2(-1 + 5x2 + 4a) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'ax2' equal to zero and attempt to solve: Simplifying ax2 = 0 Solving ax2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ax2 = 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 + 5x2 + 4a)' equal to zero and attempt to solve: Simplifying -1 + 5x2 + 4a = 0 Reorder the terms: -1 + 4a + 5x2 = 0 Solving -1 + 4a + 5x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 4a + 1 + 5x2 = 0 + 1 Reorder the terms: -1 + 1 + 4a + 5x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4a + 5x2 = 0 + 1 4a + 5x2 = 0 + 1 Combine like terms: 0 + 1 = 1 4a + 5x2 = 1 Add '-5x2' to each side of the equation. 4a + 5x2 + -5x2 = 1 + -5x2 Combine like terms: 5x2 + -5x2 = 0 4a + 0 = 1 + -5x2 4a = 1 + -5x2 Divide each side by '4'. a = 0.25 + -1.25x2 Simplifying a = 0.25 + -1.25x2Solution
a = {0.25 + -1.25x2}
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