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Simplifying 2x2 + -5x + 8 = x Reorder the terms: 8 + -5x + 2x2 = x Solving 8 + -5x + 2x2 = x Solving for variable 'x'. Reorder the terms: 8 + -5x + -1x + 2x2 = x + -1x Combine like terms: -5x + -1x = -6x 8 + -6x + 2x2 = x + -1x Combine like terms: x + -1x = 0 8 + -6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -3x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -3x + x2)' equal to zero and attempt to solve: Simplifying 4 + -3x + x2 = 0 Solving 4 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -3x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -3x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x + x2 = 0 + -4 -3x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3x + x2 = -4 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -4 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -4 + 2.25 Combine like terms: -4 + 2.25 = -1.75 2.25 + -3x + x2 = -1.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -1.75 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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