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Simplifying x2 + x(4p + -5q) + -20pq = 0 x2 + (4p * x + -5q * x) + -20pq = 0 x2 + (4px + -5qx) + -20pq = 0 Reorder the terms: -20pq + 4px + -5qx + x2 = 0 Solving -20pq + 4px + -5qx + x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5qx' to each side of the equation. -20pq + 4px + -5qx + 5qx + x2 = 0 + 5qx Combine like terms: -5qx + 5qx = 0 -20pq + 4px + 0 + x2 = 0 + 5qx -20pq + 4px + x2 = 0 + 5qx Remove the zero: -20pq + 4px + x2 = 5qx Add '-1x2' to each side of the equation. -20pq + 4px + x2 + -1x2 = 5qx + -1x2 Combine like terms: x2 + -1x2 = 0 -20pq + 4px + 0 = 5qx + -1x2 -20pq + 4px = 5qx + -1x2 Reorder the terms: -20pq + 4px + -5qx + x2 = 5qx + -5qx + -1x2 + x2 Combine like terms: 5qx + -5qx = 0 -20pq + 4px + -5qx + x2 = 0 + -1x2 + x2 -20pq + 4px + -5qx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -20pq + 4px + -5qx + x2 = 0 The solution to this equation could not be determined.
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