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Simplifying a(2 + sqrt(2)) = 32 Reorder the terms for easier multiplication: a(2 + 2qrst) = 32 (2 * a + 2qrst * a) = 32 (2a + 2aqrst) = 32 Solving 2a + 2aqrst = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -32 + 2a + 2aqrst = 32 + -32 Combine like terms: 32 + -32 = 0 -32 + 2a + 2aqrst = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-16 + a + aqrst) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-16 + a + aqrst)' equal to zero and attempt to solve: Simplifying -16 + a + aqrst = 0 Solving -16 + a + aqrst = 0 Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + a + 16 + aqrst = 0 + 16 Reorder the terms: -16 + 16 + a + aqrst = 0 + 16 Combine like terms: -16 + 16 = 0 0 + a + aqrst = 0 + 16 a + aqrst = 0 + 16 Combine like terms: 0 + 16 = 16 a + aqrst = 16 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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