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Simplifying 113 + -12x = -3x2 Solving 113 + -12x = -3x2 Solving for variable 'x'. Combine like terms: -3x2 + 3x2 = 0 113 + -12x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 37.66666667 + -4x + x2 = 0 Move the constant term to the right: Add '-37.66666667' to each side of the equation. 37.66666667 + -4x + -37.66666667 + x2 = 0 + -37.66666667 Reorder the terms: 37.66666667 + -37.66666667 + -4x + x2 = 0 + -37.66666667 Combine like terms: 37.66666667 + -37.66666667 = 0.00000000 0.00000000 + -4x + x2 = 0 + -37.66666667 -4x + x2 = 0 + -37.66666667 Combine like terms: 0 + -37.66666667 = -37.66666667 -4x + x2 = -37.66666667 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 = -37.66666667 + 4 Reorder the terms: 4 + -4x + x2 = -37.66666667 + 4 Combine like terms: -37.66666667 + 4 = -33.66666667 4 + -4x + x2 = -33.66666667 Factor a perfect square on the left side: (x + -2)(x + -2) = -33.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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