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Simplifying 32x3a + 45xa2 = 9xa Solving 32ax3 + 45a2x = 9ax Solving for variable 'a'. Reorder the terms: -9ax + 32ax3 + 45a2x = 9ax + -9ax Combine like terms: 9ax + -9ax = 0 -9ax + 32ax3 + 45a2x = 0 Factor out the Greatest Common Factor (GCF), 'ax'. ax(-9 + 32x2 + 45a) = 0Subproblem 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 '(-9 + 32x2 + 45a)' equal to zero and attempt to solve: Simplifying -9 + 32x2 + 45a = 0 Reorder the terms: -9 + 45a + 32x2 = 0 Solving -9 + 45a + 32x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 45a + 9 + 32x2 = 0 + 9 Reorder the terms: -9 + 9 + 45a + 32x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 45a + 32x2 = 0 + 9 45a + 32x2 = 0 + 9 Combine like terms: 0 + 9 = 9 45a + 32x2 = 9 Add '-32x2' to each side of the equation. 45a + 32x2 + -32x2 = 9 + -32x2 Combine like terms: 32x2 + -32x2 = 0 45a + 0 = 9 + -32x2 45a = 9 + -32x2 Divide each side by '45'. a = 0.2 + -0.7111111111x2 Simplifying a = 0.2 + -0.7111111111x2Solution
a = {0.2 + -0.7111111111x2}
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