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Simplifying 64w2 + -144wp + 81p2 = 0 Reorder the terms: -144pw + 81p2 + 64w2 = 0 Solving -144pw + 81p2 + 64w2 = 0 Solving for variable 'p'. Factor a trinomial. (9p + -8w)(9p + -8w) = 0Subproblem 1
Set the factor '(9p + -8w)' equal to zero and attempt to solve: Simplifying 9p + -8w = 0 Solving 9p + -8w = 0 Move all terms containing p to the left, all other terms to the right. Add '8w' to each side of the equation. 9p + -8w + 8w = 0 + 8w Combine like terms: -8w + 8w = 0 9p + 0 = 0 + 8w 9p = 0 + 8w Remove the zero: 9p = 8w Divide each side by '9'. p = 0.8888888889w Simplifying p = 0.8888888889wSubproblem 2
Set the factor '(9p + -8w)' equal to zero and attempt to solve: Simplifying 9p + -8w = 0 Solving 9p + -8w = 0 Move all terms containing p to the left, all other terms to the right. Add '8w' to each side of the equation. 9p + -8w + 8w = 0 + 8w Combine like terms: -8w + 8w = 0 9p + 0 = 0 + 8w 9p = 0 + 8w Remove the zero: 9p = 8w Divide each side by '9'. p = 0.8888888889w Simplifying p = 0.8888888889wSolution
p = {0.8888888889w, 0.8888888889w}
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