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Simplifying 27x4a2 + 18X2a3 = 9x2a2 Solving 27a2x4 + 18a3X2 = 9a2x2 Solving for variable 'a'. Reorder the terms: -9a2x2 + 27a2x4 + 18a3X2 = 9a2x2 + -9a2x2 Combine like terms: 9a2x2 + -9a2x2 = 0 -9a2x2 + 27a2x4 + 18a3X2 = 0 Factor out the Greatest Common Factor (GCF), '9a2'. 9a2(-1x2 + 3x4 + 2aX2) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(-1x2 + 3x4 + 2aX2)' equal to zero and attempt to solve: Simplifying -1x2 + 3x4 + 2aX2 = 0 Reorder the terms: 2aX2 + -1x2 + 3x4 = 0 Solving 2aX2 + -1x2 + 3x4 = 0 Move all terms containing a to the left, all other terms to the right. Add 'x2' to each side of the equation. 2aX2 + -1x2 + x2 + 3x4 = 0 + x2 Combine like terms: -1x2 + x2 = 0 2aX2 + 0 + 3x4 = 0 + x2 2aX2 + 3x4 = 0 + x2 Remove the zero: 2aX2 + 3x4 = x2 Add '-3x4' to each side of the equation. 2aX2 + 3x4 + -3x4 = x2 + -3x4 Combine like terms: 3x4 + -3x4 = 0 2aX2 + 0 = x2 + -3x4 2aX2 = x2 + -3x4 Divide each side by '2X2'. a = 0.5x2X-2 + -1.5x4X-2 Simplifying a = 0.5x2X-2 + -1.5x4X-2Solution
a = {0, 0.5x2X-2 + -1.5x4X-2}
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