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Simplifying 8x2 + -640x + 25088 = 0 Reorder the terms: 25088 + -640x + 8x2 = 0 Solving 25088 + -640x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(3136 + -80x + x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(3136 + -80x + x2)' equal to zero and attempt to solve: Simplifying 3136 + -80x + x2 = 0 Solving 3136 + -80x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-3136' to each side of the equation. 3136 + -80x + -3136 + x2 = 0 + -3136 Reorder the terms: 3136 + -3136 + -80x + x2 = 0 + -3136 Combine like terms: 3136 + -3136 = 0 0 + -80x + x2 = 0 + -3136 -80x + x2 = 0 + -3136 Combine like terms: 0 + -3136 = -3136 -80x + x2 = -3136 The x term is -80x. Take half its coefficient (-40). Square it (1600) and add it to both sides. Add '1600' to each side of the equation. -80x + 1600 + x2 = -3136 + 1600 Reorder the terms: 1600 + -80x + x2 = -3136 + 1600 Combine like terms: -3136 + 1600 = -1536 1600 + -80x + x2 = -1536 Factor a perfect square on the left side: (x + -40)(x + -40) = -1536 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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