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Simplifying 6x2 + 120x + 1800 = 0 Reorder the terms: 1800 + 120x + 6x2 = 0 Solving 1800 + 120x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(300 + 20x + x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(300 + 20x + x2)' equal to zero and attempt to solve: Simplifying 300 + 20x + x2 = 0 Solving 300 + 20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-300' to each side of the equation. 300 + 20x + -300 + x2 = 0 + -300 Reorder the terms: 300 + -300 + 20x + x2 = 0 + -300 Combine like terms: 300 + -300 = 0 0 + 20x + x2 = 0 + -300 20x + x2 = 0 + -300 Combine like terms: 0 + -300 = -300 20x + x2 = -300 The x term is 20x. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20x + 100 + x2 = -300 + 100 Reorder the terms: 100 + 20x + x2 = -300 + 100 Combine like terms: -300 + 100 = -200 100 + 20x + x2 = -200 Factor a perfect square on the left side: (x + 10)(x + 10) = -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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