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Simplifying 3x2 + -6x + 3 = -60 Reorder the terms: 3 + -6x + 3x2 = -60 Solving 3 + -6x + 3x2 = -60 Solving for variable 'x'. Reorder the terms: 3 + 60 + -6x + 3x2 = -60 + 60 Combine like terms: 3 + 60 = 63 63 + -6x + 3x2 = -60 + 60 Combine like terms: -60 + 60 = 0 63 + -6x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(21 + -2x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(21 + -2x + x2)' equal to zero and attempt to solve: Simplifying 21 + -2x + x2 = 0 Solving 21 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + -2x + -21 + x2 = 0 + -21 Reorder the terms: 21 + -21 + -2x + x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2x + x2 = 0 + -21 -2x + x2 = 0 + -21 Combine like terms: 0 + -21 = -21 -2x + x2 = -21 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -21 + 1 Reorder the terms: 1 + -2x + x2 = -21 + 1 Combine like terms: -21 + 1 = -20 1 + -2x + x2 = -20 Factor a perfect square on the left side: (x + -1)(x + -1) = -20 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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