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Simplifying (x + -5)(x + -5) + (y + -10)(y + -10) = 36 Reorder the terms: (-5 + x)(x + -5) + (y + -10)(y + -10) = 36 Reorder the terms: (-5 + x)(-5 + x) + (y + -10)(y + -10) = 36 Multiply (-5 + x) * (-5 + x) (-5(-5 + x) + x(-5 + x)) + (y + -10)(y + -10) = 36 ((-5 * -5 + x * -5) + x(-5 + x)) + (y + -10)(y + -10) = 36 ((25 + -5x) + x(-5 + x)) + (y + -10)(y + -10) = 36 (25 + -5x + (-5 * x + x * x)) + (y + -10)(y + -10) = 36 (25 + -5x + (-5x + x2)) + (y + -10)(y + -10) = 36 Combine like terms: -5x + -5x = -10x (25 + -10x + x2) + (y + -10)(y + -10) = 36 Reorder the terms: 25 + -10x + x2 + (-10 + y)(y + -10) = 36 Reorder the terms: 25 + -10x + x2 + (-10 + y)(-10 + y) = 36 Multiply (-10 + y) * (-10 + y) 25 + -10x + x2 + (-10(-10 + y) + y(-10 + y)) = 36 25 + -10x + x2 + ((-10 * -10 + y * -10) + y(-10 + y)) = 36 25 + -10x + x2 + ((100 + -10y) + y(-10 + y)) = 36 25 + -10x + x2 + (100 + -10y + (-10 * y + y * y)) = 36 25 + -10x + x2 + (100 + -10y + (-10y + y2)) = 36 Combine like terms: -10y + -10y = -20y 25 + -10x + x2 + (100 + -20y + y2) = 36 Reorder the terms: 25 + 100 + -10x + x2 + -20y + y2 = 36 Combine like terms: 25 + 100 = 125 125 + -10x + x2 + -20y + y2 = 36 Solving 125 + -10x + x2 + -20y + y2 = 36 Solving for variable 'x'. Reorder the terms: 125 + -36 + -10x + x2 + -20y + y2 = 36 + -36 Combine like terms: 125 + -36 = 89 89 + -10x + x2 + -20y + y2 = 36 + -36 Combine like terms: 36 + -36 = 0 89 + -10x + x2 + -20y + y2 = 0 The solution to this equation could not be determined.
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