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Simplifying 14x2 + 7 = 6x2 + -7x Reorder the terms: 7 + 14x2 = 6x2 + -7x Reorder the terms: 7 + 14x2 = -7x + 6x2 Solving 7 + 14x2 = -7x + 6x2 Solving for variable 'x'. Reorder the terms: 7 + 7x + 14x2 + -6x2 = -7x + 6x2 + 7x + -6x2 Combine like terms: 14x2 + -6x2 = 8x2 7 + 7x + 8x2 = -7x + 6x2 + 7x + -6x2 Reorder the terms: 7 + 7x + 8x2 = -7x + 7x + 6x2 + -6x2 Combine like terms: -7x + 7x = 0 7 + 7x + 8x2 = 0 + 6x2 + -6x2 7 + 7x + 8x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 7 + 7x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.875 + 0.875x + x2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + 0.875x + -0.875 + x2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + 0.875x + x2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + 0.875x + x2 = 0 + -0.875 0.875x + x2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 0.875x + x2 = -0.875 The x term is 0.875x. Take half its coefficient (0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. 0.875x + 0.19140625 + x2 = -0.875 + 0.19140625 Reorder the terms: 0.19140625 + 0.875x + x2 = -0.875 + 0.19140625 Combine like terms: -0.875 + 0.19140625 = -0.68359375 0.19140625 + 0.875x + x2 = -0.68359375 Factor a perfect square on the left side: (x + 0.4375)(x + 0.4375) = -0.68359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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