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Simplifying 3x2 + 96 = -6x + 60 Reorder the terms: 96 + 3x2 = -6x + 60 Reorder the terms: 96 + 3x2 = 60 + -6x Solving 96 + 3x2 = 60 + -6x Solving for variable 'x'. Reorder the terms: 96 + -60 + 6x + 3x2 = 60 + -6x + -60 + 6x Combine like terms: 96 + -60 = 36 36 + 6x + 3x2 = 60 + -6x + -60 + 6x Reorder the terms: 36 + 6x + 3x2 = 60 + -60 + -6x + 6x Combine like terms: 60 + -60 = 0 36 + 6x + 3x2 = 0 + -6x + 6x 36 + 6x + 3x2 = -6x + 6x Combine like terms: -6x + 6x = 0 36 + 6x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(12 + 2x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(12 + 2x + x2)' equal to zero and attempt to solve: Simplifying 12 + 2x + x2 = 0 Solving 12 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 2x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 2x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2x + x2 = 0 + -12 2x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 2x + x2 = -12 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 = -12 + 1 Reorder the terms: 1 + 2x + x2 = -12 + 1 Combine like terms: -12 + 1 = -11 1 + 2x + x2 = -11 Factor a perfect square on the left side: (x + 1)(x + 1) = -11 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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