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Simplifying 13x2 + -17x + 7 = 0 Reorder the terms: 7 + -17x + 13x2 = 0 Solving 7 + -17x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.5384615385 + -1.307692308x + x2 = 0 Move the constant term to the right: Add '-0.5384615385' to each side of the equation. 0.5384615385 + -1.307692308x + -0.5384615385 + x2 = 0 + -0.5384615385 Reorder the terms: 0.5384615385 + -0.5384615385 + -1.307692308x + x2 = 0 + -0.5384615385 Combine like terms: 0.5384615385 + -0.5384615385 = 0.0000000000 0.0000000000 + -1.307692308x + x2 = 0 + -0.5384615385 -1.307692308x + x2 = 0 + -0.5384615385 Combine like terms: 0 + -0.5384615385 = -0.5384615385 -1.307692308x + x2 = -0.5384615385 The x term is -1.307692308x. Take half its coefficient (-0.653846154). Square it (0.4275147931) and add it to both sides. Add '0.4275147931' to each side of the equation. -1.307692308x + 0.4275147931 + x2 = -0.5384615385 + 0.4275147931 Reorder the terms: 0.4275147931 + -1.307692308x + x2 = -0.5384615385 + 0.4275147931 Combine like terms: -0.5384615385 + 0.4275147931 = -0.1109467454 0.4275147931 + -1.307692308x + x2 = -0.1109467454 Factor a perfect square on the left side: (x + -0.653846154)(x + -0.653846154) = -0.1109467454 Can't calculate square root of the right side. The solution to this equation could not be determined.
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