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Simplifying 5x2 + -80x + 400 = 0 Reorder the terms: 400 + -80x + 5x2 = 0 Solving 400 + -80x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(80 + -16x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(80 + -16x + x2)' equal to zero and attempt to solve: Simplifying 80 + -16x + x2 = 0 Solving 80 + -16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-80' to each side of the equation. 80 + -16x + -80 + x2 = 0 + -80 Reorder the terms: 80 + -80 + -16x + x2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -16x + x2 = 0 + -80 -16x + x2 = 0 + -80 Combine like terms: 0 + -80 = -80 -16x + x2 = -80 The x term is -16x. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16x + 64 + x2 = -80 + 64 Reorder the terms: 64 + -16x + x2 = -80 + 64 Combine like terms: -80 + 64 = -16 64 + -16x + x2 = -16 Factor a perfect square on the left side: (x + -8)(x + -8) = -16 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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