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Simplifying 24ax3 + -6ax2 + 12a2x = 0 Reorder the terms: -6ax2 + 24ax3 + 12a2x = 0 Solving -6ax2 + 24ax3 + 12a2x = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6ax'. 6ax(-1x + 4x2 + 2a) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'ax' equal to zero and attempt to solve: Simplifying ax = 0 Solving ax = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ax = 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 '(-1x + 4x2 + 2a)' equal to zero and attempt to solve: Simplifying -1x + 4x2 + 2a = 0 Reorder the terms: 2a + -1x + 4x2 = 0 Solving 2a + -1x + 4x2 = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. 2a + -1x + x + 4x2 = 0 + x Combine like terms: -1x + x = 0 2a + 0 + 4x2 = 0 + x 2a + 4x2 = 0 + x Remove the zero: 2a + 4x2 = x Add '-4x2' to each side of the equation. 2a + 4x2 + -4x2 = x + -4x2 Combine like terms: 4x2 + -4x2 = 0 2a + 0 = x + -4x2 2a = x + -4x2 Divide each side by '2'. a = 0.5x + -2x2 Simplifying a = 0.5x + -2x2Solution
a = {0.5x + -2x2}
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