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Simplifying 11664 + -648x + -9x2 = 41472 Solving 11664 + -648x + -9x2 = 41472 Solving for variable 'x'. Reorder the terms: 11664 + -41472 + -648x + -9x2 = 41472 + -41472 Combine like terms: 11664 + -41472 = -29808 -29808 + -648x + -9x2 = 41472 + -41472 Combine like terms: 41472 + -41472 = 0 -29808 + -648x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), '-9'. -9(3312 + 72x + x2) = 0 Ignore the factor -9.Subproblem 1
Set the factor '(3312 + 72x + x2)' equal to zero and attempt to solve: Simplifying 3312 + 72x + x2 = 0 Solving 3312 + 72x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-3312' to each side of the equation. 3312 + 72x + -3312 + x2 = 0 + -3312 Reorder the terms: 3312 + -3312 + 72x + x2 = 0 + -3312 Combine like terms: 3312 + -3312 = 0 0 + 72x + x2 = 0 + -3312 72x + x2 = 0 + -3312 Combine like terms: 0 + -3312 = -3312 72x + x2 = -3312 The x term is 72x. Take half its coefficient (36). Square it (1296) and add it to both sides. Add '1296' to each side of the equation. 72x + 1296 + x2 = -3312 + 1296 Reorder the terms: 1296 + 72x + x2 = -3312 + 1296 Combine like terms: -3312 + 1296 = -2016 1296 + 72x + x2 = -2016 Factor a perfect square on the left side: (x + 36)(x + 36) = -2016 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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