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Simplifying 3x2 + -192x + 4275 = 0 Reorder the terms: 4275 + -192x + 3x2 = 0 Solving 4275 + -192x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(1425 + -64x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1425 + -64x + x2)' equal to zero and attempt to solve: Simplifying 1425 + -64x + x2 = 0 Solving 1425 + -64x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1425' to each side of the equation. 1425 + -64x + -1425 + x2 = 0 + -1425 Reorder the terms: 1425 + -1425 + -64x + x2 = 0 + -1425 Combine like terms: 1425 + -1425 = 0 0 + -64x + x2 = 0 + -1425 -64x + x2 = 0 + -1425 Combine like terms: 0 + -1425 = -1425 -64x + x2 = -1425 The x term is -64x. Take half its coefficient (-32). Square it (1024) and add it to both sides. Add '1024' to each side of the equation. -64x + 1024 + x2 = -1425 + 1024 Reorder the terms: 1024 + -64x + x2 = -1425 + 1024 Combine like terms: -1425 + 1024 = -401 1024 + -64x + x2 = -401 Factor a perfect square on the left side: (x + -32)(x + -32) = -401 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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