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Simplifying (q8 + -7p)(q8 + -7p) = 0 Reorder the terms: (-7p + q8)(q8 + -7p) = 0 Reorder the terms: (-7p + q8)(-7p + q8) = 0 Multiply (-7p + q8) * (-7p + q8) (-7p * (-7p + q8) + q8(-7p + q8)) = 0 ((-7p * -7p + q8 * -7p) + q8(-7p + q8)) = 0 Reorder the terms: ((-7pq8 + 49p2) + q8(-7p + q8)) = 0 ((-7pq8 + 49p2) + q8(-7p + q8)) = 0 (-7pq8 + 49p2 + (-7p * q8 + q8 * q8)) = 0 (-7pq8 + 49p2 + (-7pq8 + q16)) = 0 Reorder the terms: (-7pq8 + -7pq8 + 49p2 + q16) = 0 Combine like terms: -7pq8 + -7pq8 = -14pq8 (-14pq8 + 49p2 + q16) = 0 Solving -14pq8 + 49p2 + q16 = 0 Solving for variable 'p'. Factor a trinomial. (7p + -1q8)(7p + -1q8) = 0Subproblem 1
Set the factor '(7p + -1q8)' equal to zero and attempt to solve: Simplifying 7p + -1q8 = 0 Solving 7p + -1q8 = 0 Move all terms containing p to the left, all other terms to the right. Add 'q8' to each side of the equation. 7p + -1q8 + q8 = 0 + q8 Combine like terms: -1q8 + q8 = 0 7p + 0 = 0 + q8 7p = 0 + q8 Remove the zero: 7p = q8 Divide each side by '7'. p = 0.1428571429q8 Simplifying p = 0.1428571429q8Subproblem 2
Set the factor '(7p + -1q8)' equal to zero and attempt to solve: Simplifying 7p + -1q8 = 0 Solving 7p + -1q8 = 0 Move all terms containing p to the left, all other terms to the right. Add 'q8' to each side of the equation. 7p + -1q8 + q8 = 0 + q8 Combine like terms: -1q8 + q8 = 0 7p + 0 = 0 + q8 7p = 0 + q8 Remove the zero: 7p = q8 Divide each side by '7'. p = 0.1428571429q8 Simplifying p = 0.1428571429q8Solution
p = {0.1428571429q8, 0.1428571429q8}
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