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Simplifying ax2 + -10x + 1 = p2 + q2 + -2pq Reorder the terms: 1 + ax2 + -10x = p2 + q2 + -2pq Reorder the terms: 1 + ax2 + -10x = -2pq + p2 + q2 Solving 1 + ax2 + -10x = -2pq + p2 + q2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + ax2 + -1 + -10x = -2pq + p2 + -1 + q2 Reorder the terms: 1 + -1 + ax2 + -10x = -2pq + p2 + -1 + q2 Combine like terms: 1 + -1 = 0 0 + ax2 + -10x = -2pq + p2 + -1 + q2 ax2 + -10x = -2pq + p2 + -1 + q2 Reorder the terms: ax2 + -10x = -1 + -2pq + p2 + q2 Add '10x' to each side of the equation. ax2 + -10x + 10x = -1 + -2pq + p2 + q2 + 10x Combine like terms: -10x + 10x = 0 ax2 + 0 = -1 + -2pq + p2 + q2 + 10x ax2 = -1 + -2pq + p2 + q2 + 10x Divide each side by 'x2'. a = -1x-2 + -2pqx-2 + p2x-2 + q2x-2 + 10x-1 Simplifying a = -1x-2 + -2pqx-2 + p2x-2 + q2x-2 + 10x-1 Reorder the terms: a = -2pqx-2 + p2x-2 + q2x-2 + -1x-2 + 10x-1
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