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Simplifying 10x2 + 20x + 4000 = 0 Reorder the terms: 4000 + 20x + 10x2 = 0 Solving 4000 + 20x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(400 + 2x + x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(400 + 2x + x2)' equal to zero and attempt to solve: Simplifying 400 + 2x + x2 = 0 Solving 400 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-400' to each side of the equation. 400 + 2x + -400 + x2 = 0 + -400 Reorder the terms: 400 + -400 + 2x + x2 = 0 + -400 Combine like terms: 400 + -400 = 0 0 + 2x + x2 = 0 + -400 2x + x2 = 0 + -400 Combine like terms: 0 + -400 = -400 2x + x2 = -400 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -400 + 1 Reorder the terms: 1 + 2x + x2 = -400 + 1 Combine like terms: -400 + 1 = -399 1 + 2x + x2 = -399 Factor a perfect square on the left side: (x + 1)(x + 1) = -399 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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