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Simplifying 7x2 = 7x + -4 Reorder the terms: 7x2 = -4 + 7x Solving 7x2 = -4 + 7x Solving for variable 'x'. Reorder the terms: 4 + -7x + 7x2 = -4 + 7x + 4 + -7x Reorder the terms: 4 + -7x + 7x2 = -4 + 4 + 7x + -7x Combine like terms: -4 + 4 = 0 4 + -7x + 7x2 = 0 + 7x + -7x 4 + -7x + 7x2 = 7x + -7x Combine like terms: 7x + -7x = 0 4 + -7x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.5714285714 + -1x + x2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + -1x + -0.5714285714 + x2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + -1x + x2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + -1x + x2 = 0 + -0.5714285714 -1x + x2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 -1x + x2 = -0.5714285714 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -0.5714285714 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -0.5714285714 + 0.25 Combine like terms: -0.5714285714 + 0.25 = -0.3214285714 0.25 + -1x + x2 = -0.3214285714 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -0.3214285714 Can't calculate square root of the right side. The solution to this equation could not be determined.
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