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Simplifying 7x2 = -24 + 19x Solving 7x2 = -24 + 19x Solving for variable 'x'. Reorder the terms: 24 + -19x + 7x2 = -24 + 19x + 24 + -19x Reorder the terms: 24 + -19x + 7x2 = -24 + 24 + 19x + -19x Combine like terms: -24 + 24 = 0 24 + -19x + 7x2 = 0 + 19x + -19x 24 + -19x + 7x2 = 19x + -19x Combine like terms: 19x + -19x = 0 24 + -19x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 3.428571429 + -2.714285714x + x2 = 0 Move the constant term to the right: Add '-3.428571429' to each side of the equation. 3.428571429 + -2.714285714x + -3.428571429 + x2 = 0 + -3.428571429 Reorder the terms: 3.428571429 + -3.428571429 + -2.714285714x + x2 = 0 + -3.428571429 Combine like terms: 3.428571429 + -3.428571429 = 0.000000000 0.000000000 + -2.714285714x + x2 = 0 + -3.428571429 -2.714285714x + x2 = 0 + -3.428571429 Combine like terms: 0 + -3.428571429 = -3.428571429 -2.714285714x + x2 = -3.428571429 The x term is -2.714285714x. Take half its coefficient (-1.357142857). Square it (1.841836734) and add it to both sides. Add '1.841836734' to each side of the equation. -2.714285714x + 1.841836734 + x2 = -3.428571429 + 1.841836734 Reorder the terms: 1.841836734 + -2.714285714x + x2 = -3.428571429 + 1.841836734 Combine like terms: -3.428571429 + 1.841836734 = -1.586734695 1.841836734 + -2.714285714x + x2 = -1.586734695 Factor a perfect square on the left side: (x + -1.357142857)(x + -1.357142857) = -1.586734695 Can't calculate square root of the right side. The solution to this equation could not be determined.
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