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Simplifying 4x4 + -80x2 + 800 = 0 Reorder the terms: 800 + -80x2 + 4x4 = 0 Solving 800 + -80x2 + 4x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(200 + -20x2 + x4) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(200 + -20x2 + x4)' equal to zero and attempt to solve: Simplifying 200 + -20x2 + x4 = 0 Solving 200 + -20x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-200' to each side of the equation. 200 + -20x2 + -200 + x4 = 0 + -200 Reorder the terms: 200 + -200 + -20x2 + x4 = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -20x2 + x4 = 0 + -200 -20x2 + x4 = 0 + -200 Combine like terms: 0 + -200 = -200 -20x2 + x4 = -200 The x term is -20x2. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x2 + 100 + x4 = -200 + 100 Reorder the terms: 100 + -20x2 + x4 = -200 + 100 Combine like terms: -200 + 100 = -100 100 + -20x2 + x4 = -100 Factor a perfect square on the left side: (x2 + -10)(x2 + -10) = -100 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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