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Simplifying 18x3a + 30xa2 = 6xa Solving 18ax3 + 30a2x = 6ax Solving for variable 'a'. Reorder the terms: -6ax + 18ax3 + 30a2x = 6ax + -6ax Combine like terms: 6ax + -6ax = 0 -6ax + 18ax3 + 30a2x = 0 Factor out the Greatest Common Factor (GCF), '6ax'. 6ax(-1 + 3x2 + 5a) = 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 '(-1 + 3x2 + 5a)' equal to zero and attempt to solve: Simplifying -1 + 3x2 + 5a = 0 Reorder the terms: -1 + 5a + 3x2 = 0 Solving -1 + 5a + 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 + 5a + 1 + 3x2 = 0 + 1 Reorder the terms: -1 + 1 + 5a + 3x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5a + 3x2 = 0 + 1 5a + 3x2 = 0 + 1 Combine like terms: 0 + 1 = 1 5a + 3x2 = 1 Add '-3x2' to each side of the equation. 5a + 3x2 + -3x2 = 1 + -3x2 Combine like terms: 3x2 + -3x2 = 0 5a + 0 = 1 + -3x2 5a = 1 + -3x2 Divide each side by '5'. a = 0.2 + -0.6x2 Simplifying a = 0.2 + -0.6x2Solution
a = {0.2 + -0.6x2}
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