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Simplifying 2x2 + -18x + 670 = 0 Reorder the terms: 670 + -18x + 2x2 = 0 Solving 670 + -18x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(335 + -9x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(335 + -9x + x2)' equal to zero and attempt to solve: Simplifying 335 + -9x + x2 = 0 Solving 335 + -9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-335' to each side of the equation. 335 + -9x + -335 + x2 = 0 + -335 Reorder the terms: 335 + -335 + -9x + x2 = 0 + -335 Combine like terms: 335 + -335 = 0 0 + -9x + x2 = 0 + -335 -9x + x2 = 0 + -335 Combine like terms: 0 + -335 = -335 -9x + x2 = -335 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -335 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -335 + 20.25 Combine like terms: -335 + 20.25 = -314.75 20.25 + -9x + x2 = -314.75 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -314.75 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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