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Simplifying 2x2 + -80x + 1200 = 0 Reorder the terms: 1200 + -80x + 2x2 = 0 Solving 1200 + -80x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(600 + -40x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(600 + -40x + x2)' equal to zero and attempt to solve: Simplifying 600 + -40x + x2 = 0 Solving 600 + -40x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-600' to each side of the equation. 600 + -40x + -600 + x2 = 0 + -600 Reorder the terms: 600 + -600 + -40x + x2 = 0 + -600 Combine like terms: 600 + -600 = 0 0 + -40x + x2 = 0 + -600 -40x + x2 = 0 + -600 Combine like terms: 0 + -600 = -600 -40x + x2 = -600 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 = -600 + 400 Reorder the terms: 400 + -40x + x2 = -600 + 400 Combine like terms: -600 + 400 = -200 400 + -40x + x2 = -200 Factor a perfect square on the left side: (x + -20)(x + -20) = -200 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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