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Simplifying 5x2 + -23x = -36 Reorder the terms: -23x + 5x2 = -36 Solving -23x + 5x2 = -36 Solving for variable 'x'. Reorder the terms: 36 + -23x + 5x2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + -23x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 7.2 + -4.6x + x2 = 0 Move the constant term to the right: Add '-7.2' to each side of the equation. 7.2 + -4.6x + -7.2 + x2 = 0 + -7.2 Reorder the terms: 7.2 + -7.2 + -4.6x + x2 = 0 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -4.6x + x2 = 0 + -7.2 -4.6x + x2 = 0 + -7.2 Combine like terms: 0 + -7.2 = -7.2 -4.6x + x2 = -7.2 The x term is -4.6x. Take half its coefficient (-2.3). Square it (5.29) and add it to both sides. Add '5.29' to each side of the equation. -4.6x + 5.29 + x2 = -7.2 + 5.29 Reorder the terms: 5.29 + -4.6x + x2 = -7.2 + 5.29 Combine like terms: -7.2 + 5.29 = -1.91 5.29 + -4.6x + x2 = -1.91 Factor a perfect square on the left side: (x + -2.3)(x + -2.3) = -1.91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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