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Simplifying (x2 + 6x + 13) * sqrt(5x2 + -1) = (5x + 16) * x2 + 8x + 11 Reorder the terms: (13 + 6x + x2) * sqrt(5x2 + -1) = (5x + 16) * x2 + 8x + 11 Reorder the terms: (13 + 6x + x2) * qrst(-1 + 5x2) = (5x + 16) * x2 + 8x + 11 Reorder the terms for easier multiplication: qrst(13 + 6x + x2)(-1 + 5x2) = (5x + 16) * x2 + 8x + 11 Multiply (13 + 6x + x2) * (-1 + 5x2) qrst(13(-1 + 5x2) + 6x * (-1 + 5x2) + x2(-1 + 5x2)) = (5x + 16) * x2 + 8x + 11 qrst((-1 * 13 + 5x2 * 13) + 6x * (-1 + 5x2) + x2(-1 + 5x2)) = (5x + 16) * x2 + 8x + 11 qrst((-13 + 65x2) + 6x * (-1 + 5x2) + x2(-1 + 5x2)) = (5x + 16) * x2 + 8x + 11 qrst(-13 + 65x2 + (-1 * 6x + 5x2 * 6x) + x2(-1 + 5x2)) = (5x + 16) * x2 + 8x + 11 qrst(-13 + 65x2 + (-6x + 30x3) + x2(-1 + 5x2)) = (5x + 16) * x2 + 8x + 11 qrst(-13 + 65x2 + -6x + 30x3 + (-1 * x2 + 5x2 * x2)) = (5x + 16) * x2 + 8x + 11 qrst(-13 + 65x2 + -6x + 30x3 + (-1x2 + 5x4)) = (5x + 16) * x2 + 8x + 11 Reorder the terms: qrst(-13 + -6x + 65x2 + -1x2 + 30x3 + 5x4) = (5x + 16) * x2 + 8x + 11 Combine like terms: 65x2 + -1x2 = 64x2 qrst(-13 + -6x + 64x2 + 30x3 + 5x4) = (5x + 16) * x2 + 8x + 11 (-13 * qrst + -6x * qrst + 64x2 * qrst + 30x3 * qrst + 5x4 * qrst) = (5x + 16) * x2 + 8x + 11 (-13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4) = (5x + 16) * x2 + 8x + 11 Reorder the terms: -13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4 = (16 + 5x) * x2 + 8x + 11 Reorder the terms for easier multiplication: -13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4 = x2(16 + 5x) + 8x + 11 -13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4 = (16 * x2 + 5x * x2) + 8x + 11 -13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4 = (16x2 + 5x3) + 8x + 11 Reorder the terms: -13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4 = 11 + 8x + 16x2 + 5x3 Solving -13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4 = 11 + 8x + 16x2 + 5x3 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -11 + -13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4 + -8x + -16x2 + -5x3 = 11 + 8x + 16x2 + 5x3 + -11 + -8x + -16x2 + -5x3 Reorder the terms: -11 + -13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4 + -8x + -16x2 + -5x3 = 11 + -11 + 8x + -8x + 16x2 + -16x2 + 5x3 + -5x3 Combine like terms: 11 + -11 = 0 -11 + -13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4 + -8x + -16x2 + -5x3 = 0 + 8x + -8x + 16x2 + -16x2 + 5x3 + -5x3 -11 + -13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4 + -8x + -16x2 + -5x3 = 8x + -8x + 16x2 + -16x2 + 5x3 + -5x3 Combine like terms: 8x + -8x = 0 -11 + -13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4 + -8x + -16x2 + -5x3 = 0 + 16x2 + -16x2 + 5x3 + -5x3 -11 + -13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4 + -8x + -16x2 + -5x3 = 16x2 + -16x2 + 5x3 + -5x3 Combine like terms: 16x2 + -16x2 = 0 -11 + -13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4 + -8x + -16x2 + -5x3 = 0 + 5x3 + -5x3 -11 + -13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4 + -8x + -16x2 + -5x3 = 5x3 + -5x3 Combine like terms: 5x3 + -5x3 = 0 -11 + -13qrst + -6qrstx + 64qrstx2 + 30qrstx3 + 5qrstx4 + -8x + -16x2 + -5x3 = 0 The solution to this equation could not be determined.
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