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Simplifying 2x2 + -60x + 600 = 0 Reorder the terms: 600 + -60x + 2x2 = 0 Solving 600 + -60x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(300 + -30x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(300 + -30x + x2)' equal to zero and attempt to solve: Simplifying 300 + -30x + x2 = 0 Solving 300 + -30x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-300' to each side of the equation. 300 + -30x + -300 + x2 = 0 + -300 Reorder the terms: 300 + -300 + -30x + x2 = 0 + -300 Combine like terms: 300 + -300 = 0 0 + -30x + x2 = 0 + -300 -30x + x2 = 0 + -300 Combine like terms: 0 + -300 = -300 -30x + x2 = -300 The x term is -30x. Take half its coefficient (-15). Square it (225) and add it to both sides. Add '225' to each side of the equation. -30x + 225 + x2 = -300 + 225 Reorder the terms: 225 + -30x + x2 = -300 + 225 Combine like terms: -300 + 225 = -75 225 + -30x + x2 = -75 Factor a perfect square on the left side: (x + -15)(x + -15) = -75 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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