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Simplifying (52 + -1x)(41 + -1x) + 415 + -1(x + -395) = 0 Multiply (52 + -1x) * (41 + -1x) (52(41 + -1x) + -1x * (41 + -1x)) + 415 + -1(x + -395) = 0 ((41 * 52 + -1x * 52) + -1x * (41 + -1x)) + 415 + -1(x + -395) = 0 ((2132 + -52x) + -1x * (41 + -1x)) + 415 + -1(x + -395) = 0 (2132 + -52x + (41 * -1x + -1x * -1x)) + 415 + -1(x + -395) = 0 (2132 + -52x + (-41x + 1x2)) + 415 + -1(x + -395) = 0 Combine like terms: -52x + -41x = -93x (2132 + -93x + 1x2) + 415 + -1(x + -395) = 0 Reorder the terms: 2132 + -93x + 1x2 + 415 + -1(-395 + x) = 0 2132 + -93x + 1x2 + 415 + (-395 * -1 + x * -1) = 0 2132 + -93x + 1x2 + 415 + (395 + -1x) = 0 Reorder the terms: 2132 + 415 + 395 + -93x + -1x + 1x2 = 0 Combine like terms: 2132 + 415 = 2547 2547 + 395 + -93x + -1x + 1x2 = 0 Combine like terms: 2547 + 395 = 2942 2942 + -93x + -1x + 1x2 = 0 Combine like terms: -93x + -1x = -94x 2942 + -94x + 1x2 = 0 Solving 2942 + -94x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-2942' to each side of the equation. 2942 + -94x + -2942 + x2 = 0 + -2942 Reorder the terms: 2942 + -2942 + -94x + x2 = 0 + -2942 Combine like terms: 2942 + -2942 = 0 0 + -94x + x2 = 0 + -2942 -94x + x2 = 0 + -2942 Combine like terms: 0 + -2942 = -2942 -94x + x2 = -2942 The x term is -94x. Take half its coefficient (-47). Square it (2209) and add it to both sides. Add '2209' to each side of the equation. -94x + 2209 + x2 = -2942 + 2209 Reorder the terms: 2209 + -94x + x2 = -2942 + 2209 Combine like terms: -2942 + 2209 = -733 2209 + -94x + x2 = -733 Factor a perfect square on the left side: (x + -47)(x + -47) = -733 Can't calculate square root of the right side. The solution to this equation could not be determined.
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