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Simplifying 6x + -1x(x + 2) = 13 Reorder the terms: 6x + -1x(2 + x) = 13 6x + (2 * -1x + x * -1x) = 13 6x + (-2x + -1x2) = 13 Combine like terms: 6x + -2x = 4x 4x + -1x2 = 13 Solving 4x + -1x2 = 13 Solving for variable 'x'. Reorder the terms: -13 + 4x + -1x2 = 13 + -13 Combine like terms: 13 + -13 = 0 -13 + 4x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 13 + -4x + x2 = 0 Move the constant term to the right: Add '-13' to each side of the equation. 13 + -4x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + -4x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4x + x2 = 0 + -13 -4x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -4x + x2 = -13 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -13 + 4 Reorder the terms: 4 + -4x + x2 = -13 + 4 Combine like terms: -13 + 4 = -9 4 + -4x + x2 = -9 Factor a perfect square on the left side: (x + -2)(x + -2) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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