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Simplifying 6x2 + -40x + 75 = 0 Reorder the terms: 75 + -40x + 6x2 = 0 Solving 75 + -40x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 12.5 + -6.666666667x + x2 = 0 Move the constant term to the right: Add '-12.5' to each side of the equation. 12.5 + -6.666666667x + -12.5 + x2 = 0 + -12.5 Reorder the terms: 12.5 + -12.5 + -6.666666667x + x2 = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -6.666666667x + x2 = 0 + -12.5 -6.666666667x + x2 = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 -6.666666667x + x2 = -12.5 The x term is -6.666666667x. Take half its coefficient (-3.333333334). Square it (11.11111112) and add it to both sides. Add '11.11111112' to each side of the equation. -6.666666667x + 11.11111112 + x2 = -12.5 + 11.11111112 Reorder the terms: 11.11111112 + -6.666666667x + x2 = -12.5 + 11.11111112 Combine like terms: -12.5 + 11.11111112 = -1.38888888 11.11111112 + -6.666666667x + x2 = -1.38888888 Factor a perfect square on the left side: (x + -3.333333334)(x + -3.333333334) = -1.38888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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