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Simplifying 3x2 + -180x + 4800 = 0 Reorder the terms: 4800 + -180x + 3x2 = 0 Solving 4800 + -180x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(1600 + -60x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1600 + -60x + x2)' equal to zero and attempt to solve: Simplifying 1600 + -60x + x2 = 0 Solving 1600 + -60x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1600' to each side of the equation. 1600 + -60x + -1600 + x2 = 0 + -1600 Reorder the terms: 1600 + -1600 + -60x + x2 = 0 + -1600 Combine like terms: 1600 + -1600 = 0 0 + -60x + x2 = 0 + -1600 -60x + x2 = 0 + -1600 Combine like terms: 0 + -1600 = -1600 -60x + x2 = -1600 The x term is -60x. Take half its coefficient (-30). Square it (900) and add it to both sides. Add '900' to each side of the equation. -60x + 900 + x2 = -1600 + 900 Reorder the terms: 900 + -60x + x2 = -1600 + 900 Combine like terms: -1600 + 900 = -700 900 + -60x + x2 = -700 Factor a perfect square on the left side: (x + -30)(x + -30) = -700 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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