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Simplifying 5x2 + -200x + 4000 = 0 Reorder the terms: 4000 + -200x + 5x2 = 0 Solving 4000 + -200x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(800 + -40x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(800 + -40x + x2)' equal to zero and attempt to solve: Simplifying 800 + -40x + x2 = 0 Solving 800 + -40x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-800' to each side of the equation. 800 + -40x + -800 + x2 = 0 + -800 Reorder the terms: 800 + -800 + -40x + x2 = 0 + -800 Combine like terms: 800 + -800 = 0 0 + -40x + x2 = 0 + -800 -40x + x2 = 0 + -800 Combine like terms: 0 + -800 = -800 -40x + x2 = -800 The x term is -40x. Take half its coefficient (-20). Square it (400) and add it to both sides. Add '400' to each side of the equation. -40x + 400 + x2 = -800 + 400 Reorder the terms: 400 + -40x + x2 = -800 + 400 Combine like terms: -800 + 400 = -400 400 + -40x + x2 = -400 Factor a perfect square on the left side: (x + -20)(x + -20) = -400 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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