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Simplifying 2x2 + -23x + 100 = -4x2 Reorder the terms: 100 + -23x + 2x2 = -4x2 Solving 100 + -23x + 2x2 = -4x2 Solving for variable 'x'. Combine like terms: 2x2 + 4x2 = 6x2 100 + -23x + 6x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 100 + -23x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 16.66666667 + -3.833333333x + x2 = 0 Move the constant term to the right: Add '-16.66666667' to each side of the equation. 16.66666667 + -3.833333333x + -16.66666667 + x2 = 0 + -16.66666667 Reorder the terms: 16.66666667 + -16.66666667 + -3.833333333x + x2 = 0 + -16.66666667 Combine like terms: 16.66666667 + -16.66666667 = 0.00000000 0.00000000 + -3.833333333x + x2 = 0 + -16.66666667 -3.833333333x + x2 = 0 + -16.66666667 Combine like terms: 0 + -16.66666667 = -16.66666667 -3.833333333x + x2 = -16.66666667 The x term is -3.833333333x. Take half its coefficient (-1.916666667). Square it (3.673611112) and add it to both sides. Add '3.673611112' to each side of the equation. -3.833333333x + 3.673611112 + x2 = -16.66666667 + 3.673611112 Reorder the terms: 3.673611112 + -3.833333333x + x2 = -16.66666667 + 3.673611112 Combine like terms: -16.66666667 + 3.673611112 = -12.993055558 3.673611112 + -3.833333333x + x2 = -12.993055558 Factor a perfect square on the left side: (x + -1.916666667)(x + -1.916666667) = -12.993055558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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