Solve for x x^(2)-6x+y^(2)+2y-15=0

Rearrange Equation: Step Title: Rearrange the Equation Concise Step Description: Rearrange the equation to group x and y terms separately. Step Calculation: x^2 - 6x + y^2 + 2y = 15 Step Output: x^2 - 6x + y^2 + 2y = 15Complete Square for x: Step Title: Complete the Square for x Concise Step Description: Complete the square for the x terms. Step Calculation: x^2 - 6x = (x - 3)^2 - 9 Step Output: (x - 3)^2 - 9Complete Square for y: Step Title: Complete the Square for y Concise Step Description: Complete the square for the y terms. Step Calculation: y^2 + 2y = (y + 1)^2 - 1 Step Output: (y + 1)^2 - 1Substitute and Simplify: Step Title: Substitute Back and Simplify Concise Step Description: Substitute the completed squares back into the equation and simplify. Step Calculation: (x - 3)^2 - 9 + (y + 1)^2 - 1 = 15 Step Output: (x - 3)^2 + (y + 1)^2 = 25

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x^{2}-6x+y^{2}+2y-15=0

Rearrange Equation: Step Title: Rearrange the Equation $\newline$ Concise Step Description: Rearrange the equation to group x and y terms separately. $\newline$ Step Calculation: $x^2 - 6x + y^2 + 2y = 15$ $\newline$ Step Output: $x^2 - 6x + y^2 + 2y = 15$
Complete Square for $x$ : Step Title: Complete the Square for $x$ Concise Step Description: Complete the square for the $x$ terms. Step Calculation: $x^2 - 6x = (x - 3)^2 - 9$ Step Output: $(x - 3)^2 - 9$
Complete Square for $y$ : Step Title: Complete the Square for $y$ Concise Step Description: Complete the square for the $y$ terms. Step Calculation: $y^2 + 2y = (y + 1)^2 - 1$ Step Output: $(y + 1)^2 - 1$
Substitute and Simplify: Step Title: Substitute Back and Simplify $\newline$ Concise Step Description: Substitute the completed squares back into the equation and simplify. $\newline$ Step Calculation: $(x - 3)^2 - 9 + (y + 1)^2 - 1 = 15$ $\newline$ Step Output: $(x - 3)^2 + (y + 1)^2 = 25$