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Simplifying 3(a + 18) = 18whatis * a Reorder the terms: 3(18 + a) = 18whatis * a (18 * 3 + a * 3) = 18whatis * a (54 + 3a) = 18whatis * a Multiply ahistw * a 54 + 3a = 18a2histw Solving 54 + 3a = 18a2histw Solving for variable 'a'. Combine like terms: 18a2histw + -18a2histw = 0 54 + 3a + -18a2histw = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(18 + a + -6a2histw) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(18 + a + -6a2histw)' equal to zero and attempt to solve: Simplifying 18 + a + -6a2histw = 0 Solving 18 + a + -6a2histw = 0 Begin completing the square. Divide all terms by -6histw the coefficient of the squared term: Divide each side by '-6histw'. -3h-1i-1s-1t-1w-1 + -0.1666666667ah-1i-1s-1t-1w-1 + a2 = 0h-1i-1s-1t-1w-1 Move the constant term to the right: Add '3' to each side of the equation. -3h-1i-1s-1t-1w-1 + -0.1666666667ah-1i-1s-1t-1w-1 + 3 + a2 = 3 + 0h-1i-1s-1t-1w-1 Reorder the terms: 3 + -0.1666666667ah-1i-1s-1t-1w-1 + a2 + -3h-1i-1s-1t-1w-1 = 3 + 0h-1i-1s-1t-1w-1 Combine like terms: 3 + 0 = 3 3 + -0.1666666667ah-1i-1s-1t-1w-1 + a2 + -3h-1i-1s-1t-1w-1 = 3 The a term is ah-1i-1s-1t-1w-1. Take half its coefficient (0.5h-1i-1s-1t-1w-1). Square it (0.25h-2i-2s-2t-2w-2) and add it to both sides. Add '0.25h-2i-2s-2t-2w-2' to each side of the equation. 3 + -0.1666666667ah-1i-1s-1t-1w-1 + a2 + 0.25h-2i-2s-2t-2w-2 + -3h-1i-1s-1t-1w-1 = 3 + 0.25h-2i-2s-2t-2w-2 Factor a perfect square on the left side: (a + 0.5h-1i-1s-1t-1w-1)(a + 0.5h-1i-1s-1t-1w-1) = 3 + 0.25h-2i-2s-2t-2w-2 Can't calculate square root of the right side. 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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