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Simplifying x2 + 36x + 12x + 3600 = 20 Reorder the terms: 3600 + 36x + 12x + x2 = 20 Combine like terms: 36x + 12x = 48x 3600 + 48x + x2 = 20 Solving 3600 + 48x + x2 = 20 Solving for variable 'x'. Reorder the terms: 3600 + -20 + 48x + x2 = 20 + -20 Combine like terms: 3600 + -20 = 3580 3580 + 48x + x2 = 20 + -20 Combine like terms: 20 + -20 = 0 3580 + 48x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-3580' to each side of the equation. 3580 + 48x + -3580 + x2 = 0 + -3580 Reorder the terms: 3580 + -3580 + 48x + x2 = 0 + -3580 Combine like terms: 3580 + -3580 = 0 0 + 48x + x2 = 0 + -3580 48x + x2 = 0 + -3580 Combine like terms: 0 + -3580 = -3580 48x + x2 = -3580 The x term is 48x. Take half its coefficient (24). Square it (576) and add it to both sides. Add '576' to each side of the equation. 48x + 576 + x2 = -3580 + 576 Reorder the terms: 576 + 48x + x2 = -3580 + 576 Combine like terms: -3580 + 576 = -3004 576 + 48x + x2 = -3004 Factor a perfect square on the left side: (x + 24)(x + 24) = -3004 Can't calculate square root of the right side. The solution to this equation could not be determined.
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