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Simplifying q(x + 2) = -1x2 + 4x + 1 Reorder the terms: q(2 + x) = -1x2 + 4x + 1 (2 * q + x * q) = -1x2 + 4x + 1 (2q + qx) = -1x2 + 4x + 1 Reorder the terms: 2q + qx = 1 + 4x + -1x2 Solving 2q + qx = 1 + 4x + -1x2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -1 + 2q + qx + -4x + x2 = 1 + 4x + -1x2 + -1 + -4x + x2 Reorder the terms: -1 + 2q + qx + -4x + x2 = 1 + -1 + 4x + -4x + -1x2 + x2 Combine like terms: 1 + -1 = 0 -1 + 2q + qx + -4x + x2 = 0 + 4x + -4x + -1x2 + x2 -1 + 2q + qx + -4x + x2 = 4x + -4x + -1x2 + x2 Combine like terms: 4x + -4x = 0 -1 + 2q + qx + -4x + x2 = 0 + -1x2 + x2 -1 + 2q + qx + -4x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -1 + 2q + qx + -4x + x2 = 0 The solution to this equation could not be determined.
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