Factorize the expression: x^(2)+2x=-5

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Factorize the expression:  x^(2)+2x=-5

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Rearrange Equation: Step Title: Rearrange the Equation Concise Step Description: Move all terms to one side of the equation to set it equal to zero. Step Calculation: x^2 + 2x + 5 = 0 (originally given as x^2 + 2x = -5, added 5 to both sides) Step Output: x^2 + 2x + 5 = 0Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic equation. Step Calculation: Coefficients are 1 (for x^2), 2 (for x), and 5 (constant term). Step Output: Coefficients: 1, 2, 5Calculate Discriminant: Step Title: Calculate the Discriminant Concise Step Description: Use the discriminant formula D = b^2 - 4ac to check if the roots are real and distinct, real and equal, or complex. Step Calculation: D = (2)^2 - 4*1*5 = 4 - 20 = -16 Step Output: Discriminant: -16Conclusion on Roots: Step Title: Conclusion on Roots Concise Step Description: Since the discriminant is negative, the quadratic equation has complex roots and cannot be factored using real numbers. Step Calculation: No real factors exist because the discriminant is less than zero. Step Output: No real factoring possible.

Factorize the expression: $x^{2}+2x=-5$

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Factorize the expression: x2+2x=−5x^{2}+2x=-5x2+2x=−5

Factorize the expression: $x^{2}+2x=-5$