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Simplifying 2ax2 + 2a2x + -3ax = 0 Reorder the terms: -3ax + 2ax2 + 2a2x = 0 Solving -3ax + 2ax2 + 2a2x = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'ax'. ax(-3 + 2x + 2a) = 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 '(-3 + 2x + 2a)' equal to zero and attempt to solve: Simplifying -3 + 2x + 2a = 0 Reorder the terms: -3 + 2a + 2x = 0 Solving -3 + 2a + 2x = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2a + 3 + 2x = 0 + 3 Reorder the terms: -3 + 3 + 2a + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2a + 2x = 0 + 3 2a + 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2a + 2x = 3 Add '-2x' to each side of the equation. 2a + 2x + -2x = 3 + -2x Combine like terms: 2x + -2x = 0 2a + 0 = 3 + -2x 2a = 3 + -2x Divide each side by '2'. a = 1.5 + -1x Simplifying a = 1.5 + -1xSolution
a = {1.5 + -1x}
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