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Simplifying x2 + -1x(5s + -2r) + -10rs = 0 Reorder the terms: x2 + -1x(-2r + 5s) + -10rs = 0 x2 + (-2r * -1x + 5s * -1x) + -10rs = 0 x2 + (2rx + -5sx) + -10rs = 0 Reorder the terms: -10rs + 2rx + -5sx + x2 = 0 Solving -10rs + 2rx + -5sx + x2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5sx' to each side of the equation. -10rs + 2rx + -5sx + 5sx + x2 = 0 + 5sx Combine like terms: -5sx + 5sx = 0 -10rs + 2rx + 0 + x2 = 0 + 5sx -10rs + 2rx + x2 = 0 + 5sx Remove the zero: -10rs + 2rx + x2 = 5sx Add '-1x2' to each side of the equation. -10rs + 2rx + x2 + -1x2 = 5sx + -1x2 Combine like terms: x2 + -1x2 = 0 -10rs + 2rx + 0 = 5sx + -1x2 -10rs + 2rx = 5sx + -1x2 Reorder the terms: -10rs + 2rx + -5sx + x2 = 5sx + -5sx + -1x2 + x2 Combine like terms: 5sx + -5sx = 0 -10rs + 2rx + -5sx + x2 = 0 + -1x2 + x2 -10rs + 2rx + -5sx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -10rs + 2rx + -5sx + x2 = 0 The solution to this equation could not be determined.
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