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Simplifying 12x4a + 8x2a2 = 4x2a Solving 12ax4 + 8a2x2 = 4ax2 Solving for variable 'a'. Reorder the terms: -4ax2 + 12ax4 + 8a2x2 = 4ax2 + -4ax2 Combine like terms: 4ax2 + -4ax2 = 0 -4ax2 + 12ax4 + 8a2x2 = 0 Factor out the Greatest Common Factor (GCF), '4ax2'. 4ax2(-1 + 3x2 + 2a) = 0 Ignore the factor 4.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 + 3x2 + 2a)' equal to zero and attempt to solve: Simplifying -1 + 3x2 + 2a = 0 Reorder the terms: -1 + 2a + 3x2 = 0 Solving -1 + 2a + 3x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2a + 1 + 3x2 = 0 + 1 Reorder the terms: -1 + 1 + 2a + 3x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2a + 3x2 = 0 + 1 2a + 3x2 = 0 + 1 Combine like terms: 0 + 1 = 1 2a + 3x2 = 1 Add '-3x2' to each side of the equation. 2a + 3x2 + -3x2 = 1 + -3x2 Combine like terms: 3x2 + -3x2 = 0 2a + 0 = 1 + -3x2 2a = 1 + -3x2 Divide each side by '2'. a = 0.5 + -1.5x2 Simplifying a = 0.5 + -1.5x2Solution
a = {0.5 + -1.5x2}
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