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Simplifying 4x + -36 = x2 Reorder the terms: -36 + 4x = x2 Solving -36 + 4x = x2 Solving for variable 'x'. Combine like terms: x2 + -1x2 = 0 -36 + 4x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 36 + -4x + x2 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -4x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -4x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -4x + x2 = 0 + -36 -4x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -4x + x2 = -36 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 = -36 + 4 Reorder the terms: 4 + -4x + x2 = -36 + 4 Combine like terms: -36 + 4 = -32 4 + -4x + x2 = -32 Factor a perfect square on the left side: (x + -2)(x + -2) = -32 Can't calculate square root of the right side. The solution to this equation could not be determined.
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