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Simplifying 8x2 + -160x + 1000 = 0 Reorder the terms: 1000 + -160x + 8x2 = 0 Solving 1000 + -160x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(125 + -20x + x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(125 + -20x + x2)' equal to zero and attempt to solve: Simplifying 125 + -20x + x2 = 0 Solving 125 + -20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-125' to each side of the equation. 125 + -20x + -125 + x2 = 0 + -125 Reorder the terms: 125 + -125 + -20x + x2 = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -20x + x2 = 0 + -125 -20x + x2 = 0 + -125 Combine like terms: 0 + -125 = -125 -20x + x2 = -125 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -125 + 100 Reorder the terms: 100 + -20x + x2 = -125 + 100 Combine like terms: -125 + 100 = -25 100 + -20x + x2 = -25 Factor a perfect square on the left side: (x + -10)(x + -10) = -25 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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