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Simplifying x + -1x2 + -12 = 2x + x + 48 Reorder the terms: -12 + x + -1x2 = 2x + x + 48 Reorder the terms: -12 + x + -1x2 = 48 + 2x + x Combine like terms: 2x + x = 3x -12 + x + -1x2 = 48 + 3x Solving -12 + x + -1x2 = 48 + 3x Solving for variable 'x'. Reorder the terms: -12 + -48 + x + -3x + -1x2 = 48 + 3x + -48 + -3x Combine like terms: -12 + -48 = -60 -60 + x + -3x + -1x2 = 48 + 3x + -48 + -3x Combine like terms: x + -3x = -2x -60 + -2x + -1x2 = 48 + 3x + -48 + -3x Reorder the terms: -60 + -2x + -1x2 = 48 + -48 + 3x + -3x Combine like terms: 48 + -48 = 0 -60 + -2x + -1x2 = 0 + 3x + -3x -60 + -2x + -1x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -60 + -2x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(60 + 2x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(60 + 2x + x2)' equal to zero and attempt to solve: Simplifying 60 + 2x + x2 = 0 Solving 60 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + 2x + -60 + x2 = 0 + -60 Reorder the terms: 60 + -60 + 2x + x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 2x + x2 = 0 + -60 2x + x2 = 0 + -60 Combine like terms: 0 + -60 = -60 2x + x2 = -60 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 = -60 + 1 Reorder the terms: 1 + 2x + x2 = -60 + 1 Combine like terms: -60 + 1 = -59 1 + 2x + x2 = -59 Factor a perfect square on the left side: (x + 1)(x + 1) = -59 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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