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Simplifying 2x2 + -600x + 90000 = 19600 Reorder the terms: 90000 + -600x + 2x2 = 19600 Solving 90000 + -600x + 2x2 = 19600 Solving for variable 'x'. Reorder the terms: 90000 + -19600 + -600x + 2x2 = 19600 + -19600 Combine like terms: 90000 + -19600 = 70400 70400 + -600x + 2x2 = 19600 + -19600 Combine like terms: 19600 + -19600 = 0 70400 + -600x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(35200 + -300x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(35200 + -300x + x2)' equal to zero and attempt to solve: Simplifying 35200 + -300x + x2 = 0 Solving 35200 + -300x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-35200' to each side of the equation. 35200 + -300x + -35200 + x2 = 0 + -35200 Reorder the terms: 35200 + -35200 + -300x + x2 = 0 + -35200 Combine like terms: 35200 + -35200 = 0 0 + -300x + x2 = 0 + -35200 -300x + x2 = 0 + -35200 Combine like terms: 0 + -35200 = -35200 -300x + x2 = -35200 The x term is -300x. Take half its coefficient (-150). Square it (22500) and add it to both sides. Add '22500' to each side of the equation. -300x + 22500 + x2 = -35200 + 22500 Reorder the terms: 22500 + -300x + x2 = -35200 + 22500 Combine like terms: -35200 + 22500 = -12700 22500 + -300x + x2 = -12700 Factor a perfect square on the left side: (x + -150)(x + -150) = -12700 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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