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Simplifying 4x2 + -52x + 640 = 0 Reorder the terms: 640 + -52x + 4x2 = 0 Solving 640 + -52x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(160 + -13x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(160 + -13x + x2)' equal to zero and attempt to solve: Simplifying 160 + -13x + x2 = 0 Solving 160 + -13x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-160' to each side of the equation. 160 + -13x + -160 + x2 = 0 + -160 Reorder the terms: 160 + -160 + -13x + x2 = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -13x + x2 = 0 + -160 -13x + x2 = 0 + -160 Combine like terms: 0 + -160 = -160 -13x + x2 = -160 The x term is -13x. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13x + 42.25 + x2 = -160 + 42.25 Reorder the terms: 42.25 + -13x + x2 = -160 + 42.25 Combine like terms: -160 + 42.25 = -117.75 42.25 + -13x + x2 = -117.75 Factor a perfect square on the left side: (x + -6.5)(x + -6.5) = -117.75 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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