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Simplifying 15x2 + -34x + 75 = 0 Reorder the terms: 75 + -34x + 15x2 = 0 Solving 75 + -34x + 15x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 5 + -2.266666667x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -2.266666667x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -2.266666667x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2.266666667x + x2 = 0 + -5 -2.266666667x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2.266666667x + x2 = -5 The x term is -2.266666667x. Take half its coefficient (-1.133333334). Square it (1.284444446) and add it to both sides. Add '1.284444446' to each side of the equation. -2.266666667x + 1.284444446 + x2 = -5 + 1.284444446 Reorder the terms: 1.284444446 + -2.266666667x + x2 = -5 + 1.284444446 Combine like terms: -5 + 1.284444446 = -3.715555554 1.284444446 + -2.266666667x + x2 = -3.715555554 Factor a perfect square on the left side: (x + -1.133333334)(x + -1.133333334) = -3.715555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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