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Simplifying x2 = 2x2 + -14x + 65 Reorder the terms: x2 = 65 + -14x + 2x2 Solving x2 = 65 + -14x + 2x2 Solving for variable 'x'. Reorder the terms: -65 + 14x + x2 + -2x2 = 65 + -14x + 2x2 + -65 + 14x + -2x2 Combine like terms: x2 + -2x2 = -1x2 -65 + 14x + -1x2 = 65 + -14x + 2x2 + -65 + 14x + -2x2 Reorder the terms: -65 + 14x + -1x2 = 65 + -65 + -14x + 14x + 2x2 + -2x2 Combine like terms: 65 + -65 = 0 -65 + 14x + -1x2 = 0 + -14x + 14x + 2x2 + -2x2 -65 + 14x + -1x2 = -14x + 14x + 2x2 + -2x2 Combine like terms: -14x + 14x = 0 -65 + 14x + -1x2 = 0 + 2x2 + -2x2 -65 + 14x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -65 + 14x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 65 + -14x + x2 = 0 Move the constant term to the right: Add '-65' to each side of the equation. 65 + -14x + -65 + x2 = 0 + -65 Reorder the terms: 65 + -65 + -14x + x2 = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -14x + x2 = 0 + -65 -14x + x2 = 0 + -65 Combine like terms: 0 + -65 = -65 -14x + x2 = -65 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 = -65 + 49 Reorder the terms: 49 + -14x + x2 = -65 + 49 Combine like terms: -65 + 49 = -16 49 + -14x + x2 = -16 Factor a perfect square on the left side: (x + -7)(x + -7) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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