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Simplifying 45x3a + 27xa2 = 9xa Solving 45ax3 + 27a2x = 9ax Solving for variable 'a'. Reorder the terms: -9ax + 45ax3 + 27a2x = 9ax + -9ax Combine like terms: 9ax + -9ax = 0 -9ax + 45ax3 + 27a2x = 0 Factor out the Greatest Common Factor (GCF), '9ax'. 9ax(-1 + 5x2 + 3a) = 0 Ignore the factor 9.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 + 5x2 + 3a)' equal to zero and attempt to solve: Simplifying -1 + 5x2 + 3a = 0 Reorder the terms: -1 + 3a + 5x2 = 0 Solving -1 + 3a + 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 + 3a + 1 + 5x2 = 0 + 1 Reorder the terms: -1 + 1 + 3a + 5x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3a + 5x2 = 0 + 1 3a + 5x2 = 0 + 1 Combine like terms: 0 + 1 = 1 3a + 5x2 = 1 Add '-5x2' to each side of the equation. 3a + 5x2 + -5x2 = 1 + -5x2 Combine like terms: 5x2 + -5x2 = 0 3a + 0 = 1 + -5x2 3a = 1 + -5x2 Divide each side by '3'. a = 0.3333333333 + -1.666666667x2 Simplifying a = 0.3333333333 + -1.666666667x2Solution
a = {0.3333333333 + -1.666666667x2}
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