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Simplifying 2x2 + 36x + 210 = 0 Reorder the terms: 210 + 36x + 2x2 = 0 Solving 210 + 36x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(105 + 18x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(105 + 18x + x2)' equal to zero and attempt to solve: Simplifying 105 + 18x + x2 = 0 Solving 105 + 18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-105' to each side of the equation. 105 + 18x + -105 + x2 = 0 + -105 Reorder the terms: 105 + -105 + 18x + x2 = 0 + -105 Combine like terms: 105 + -105 = 0 0 + 18x + x2 = 0 + -105 18x + x2 = 0 + -105 Combine like terms: 0 + -105 = -105 18x + x2 = -105 The x term is 18x. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18x + 81 + x2 = -105 + 81 Reorder the terms: 81 + 18x + x2 = -105 + 81 Combine like terms: -105 + 81 = -24 81 + 18x + x2 = -24 Factor a perfect square on the left side: (x + 9)(x + 9) = -24 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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