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Simplifying 2x2 + 42x + 1080 = 0 Reorder the terms: 1080 + 42x + 2x2 = 0 Solving 1080 + 42x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(540 + 21x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(540 + 21x + x2)' equal to zero and attempt to solve: Simplifying 540 + 21x + x2 = 0 Solving 540 + 21x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-540' to each side of the equation. 540 + 21x + -540 + x2 = 0 + -540 Reorder the terms: 540 + -540 + 21x + x2 = 0 + -540 Combine like terms: 540 + -540 = 0 0 + 21x + x2 = 0 + -540 21x + x2 = 0 + -540 Combine like terms: 0 + -540 = -540 21x + x2 = -540 The x term is 21x. Take half its coefficient (10.5). Square it (110.25) and add it to both sides. Add '110.25' to each side of the equation. 21x + 110.25 + x2 = -540 + 110.25 Reorder the terms: 110.25 + 21x + x2 = -540 + 110.25 Combine like terms: -540 + 110.25 = -429.75 110.25 + 21x + x2 = -429.75 Factor a perfect square on the left side: (x + 10.5)(x + 10.5) = -429.75 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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