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Simplifying 3x2 + -2x + 75 = 0 Reorder the terms: 75 + -2x + 3x2 = 0 Solving 75 + -2x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 25 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-25' to each side of the equation. 25 + -0.6666666667x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + -0.6666666667x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -0.6666666667x + x2 = 0 + -25 -0.6666666667x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -0.6666666667x + x2 = -25 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -25 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -25 + 0.1111111112 Combine like terms: -25 + 0.1111111112 = -24.8888888888 0.1111111112 + -0.6666666667x + x2 = -24.8888888888 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -24.8888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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