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Simplifying 23x2 + -12x + 21 = 0 Reorder the terms: 21 + -12x + 23x2 = 0 Solving 21 + -12x + 23x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 23 the coefficient of the squared term: Divide each side by '23'. 0.9130434783 + -0.5217391304x + x2 = 0 Move the constant term to the right: Add '-0.9130434783' to each side of the equation. 0.9130434783 + -0.5217391304x + -0.9130434783 + x2 = 0 + -0.9130434783 Reorder the terms: 0.9130434783 + -0.9130434783 + -0.5217391304x + x2 = 0 + -0.9130434783 Combine like terms: 0.9130434783 + -0.9130434783 = 0.0000000000 0.0000000000 + -0.5217391304x + x2 = 0 + -0.9130434783 -0.5217391304x + x2 = 0 + -0.9130434783 Combine like terms: 0 + -0.9130434783 = -0.9130434783 -0.5217391304x + x2 = -0.9130434783 The x term is -0.5217391304x. Take half its coefficient (-0.2608695652). Square it (0.06805293005) and add it to both sides. Add '0.06805293005' to each side of the equation. -0.5217391304x + 0.06805293005 + x2 = -0.9130434783 + 0.06805293005 Reorder the terms: 0.06805293005 + -0.5217391304x + x2 = -0.9130434783 + 0.06805293005 Combine like terms: -0.9130434783 + 0.06805293005 = -0.84499054825 0.06805293005 + -0.5217391304x + x2 = -0.84499054825 Factor a perfect square on the left side: (x + -0.2608695652)(x + -0.2608695652) = -0.84499054825 Can't calculate square root of the right side. The solution to this equation could not be determined.
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