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Simplifying 0 = 2x2 + 18x + 328 Reorder the terms: 0 = 328 + 18x + 2x2 Solving 0 = 328 + 18x + 2x2 Solving for variable 'x'. Combine like terms: 0 + -328 = -328 -328 + -18x + -2x2 = 328 + 18x + 2x2 + -328 + -18x + -2x2 Reorder the terms: -328 + -18x + -2x2 = 328 + -328 + 18x + -18x + 2x2 + -2x2 Combine like terms: 328 + -328 = 0 -328 + -18x + -2x2 = 0 + 18x + -18x + 2x2 + -2x2 -328 + -18x + -2x2 = 18x + -18x + 2x2 + -2x2 Combine like terms: 18x + -18x = 0 -328 + -18x + -2x2 = 0 + 2x2 + -2x2 -328 + -18x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -328 + -18x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(164 + 9x + x2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(164 + 9x + x2)' equal to zero and attempt to solve: Simplifying 164 + 9x + x2 = 0 Solving 164 + 9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-164' to each side of the equation. 164 + 9x + -164 + x2 = 0 + -164 Reorder the terms: 164 + -164 + 9x + x2 = 0 + -164 Combine like terms: 164 + -164 = 0 0 + 9x + x2 = 0 + -164 9x + x2 = 0 + -164 Combine like terms: 0 + -164 = -164 9x + x2 = -164 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = -164 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -164 + 20.25 Combine like terms: -164 + 20.25 = -143.75 20.25 + 9x + x2 = -143.75 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = -143.75 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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