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Simplifying 52x2 + -23x + 84 = 0 Reorder the terms: 84 + -23x + 52x2 = 0 Solving 84 + -23x + 52x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 52 the coefficient of the squared term: Divide each side by '52'. 1.615384615 + -0.4423076923x + x2 = 0 Move the constant term to the right: Add '-1.615384615' to each side of the equation. 1.615384615 + -0.4423076923x + -1.615384615 + x2 = 0 + -1.615384615 Reorder the terms: 1.615384615 + -1.615384615 + -0.4423076923x + x2 = 0 + -1.615384615 Combine like terms: 1.615384615 + -1.615384615 = 0.000000000 0.000000000 + -0.4423076923x + x2 = 0 + -1.615384615 -0.4423076923x + x2 = 0 + -1.615384615 Combine like terms: 0 + -1.615384615 = -1.615384615 -0.4423076923x + x2 = -1.615384615 The x term is -0.4423076923x. Take half its coefficient (-0.2211538462). Square it (0.04890902369) and add it to both sides. Add '0.04890902369' to each side of the equation. -0.4423076923x + 0.04890902369 + x2 = -1.615384615 + 0.04890902369 Reorder the terms: 0.04890902369 + -0.4423076923x + x2 = -1.615384615 + 0.04890902369 Combine like terms: -1.615384615 + 0.04890902369 = -1.56647559131 0.04890902369 + -0.4423076923x + x2 = -1.56647559131 Factor a perfect square on the left side: (x + -0.2211538462)(x + -0.2211538462) = -1.56647559131 Can't calculate square root of the right side. The solution to this equation could not be determined.
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