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Simplifying x2 + 56 = 14x + -6 Reorder the terms: 56 + x2 = 14x + -6 Reorder the terms: 56 + x2 = -6 + 14x Solving 56 + x2 = -6 + 14x Solving for variable 'x'. Reorder the terms: 56 + 6 + -14x + x2 = -6 + 14x + 6 + -14x Combine like terms: 56 + 6 = 62 62 + -14x + x2 = -6 + 14x + 6 + -14x Reorder the terms: 62 + -14x + x2 = -6 + 6 + 14x + -14x Combine like terms: -6 + 6 = 0 62 + -14x + x2 = 0 + 14x + -14x 62 + -14x + x2 = 14x + -14x Combine like terms: 14x + -14x = 0 62 + -14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-62' to each side of the equation. 62 + -14x + -62 + x2 = 0 + -62 Reorder the terms: 62 + -62 + -14x + x2 = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -14x + x2 = 0 + -62 -14x + x2 = 0 + -62 Combine like terms: 0 + -62 = -62 -14x + x2 = -62 The x term is -14x. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14x + 49 + x2 = -62 + 49 Reorder the terms: 49 + -14x + x2 = -62 + 49 Combine like terms: -62 + 49 = -13 49 + -14x + x2 = -13 Factor a perfect square on the left side: (x + -7)(x + -7) = -13 Can't calculate square root of the right side. The solution to this equation could not be determined.
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