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Simplifying 30x2 + -8x + 25 = 0 Reorder the terms: 25 + -8x + 30x2 = 0 Solving 25 + -8x + 30x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 30 the coefficient of the squared term: Divide each side by '30'. 0.8333333333 + -0.2666666667x + x2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + -0.2666666667x + -0.8333333333 + x2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + -0.2666666667x + x2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + -0.2666666667x + x2 = 0 + -0.8333333333 -0.2666666667x + x2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 -0.2666666667x + x2 = -0.8333333333 The x term is -0.2666666667x. Take half its coefficient (-0.1333333334). Square it (0.01777777780) and add it to both sides. Add '0.01777777780' to each side of the equation. -0.2666666667x + 0.01777777780 + x2 = -0.8333333333 + 0.01777777780 Reorder the terms: 0.01777777780 + -0.2666666667x + x2 = -0.8333333333 + 0.01777777780 Combine like terms: -0.8333333333 + 0.01777777780 = -0.8155555555 0.01777777780 + -0.2666666667x + x2 = -0.8155555555 Factor a perfect square on the left side: (x + -0.1333333334)(x + -0.1333333334) = -0.8155555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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