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Simplifying (6w + -5p)(6w + -5p) = 0 Reorder the terms: (-5p + 6w)(6w + -5p) = 0 Reorder the terms: (-5p + 6w)(-5p + 6w) = 0 Multiply (-5p + 6w) * (-5p + 6w) (-5p * (-5p + 6w) + 6w * (-5p + 6w)) = 0 ((-5p * -5p + 6w * -5p) + 6w * (-5p + 6w)) = 0 Reorder the terms: ((-30pw + 25p2) + 6w * (-5p + 6w)) = 0 ((-30pw + 25p2) + 6w * (-5p + 6w)) = 0 (-30pw + 25p2 + (-5p * 6w + 6w * 6w)) = 0 (-30pw + 25p2 + (-30pw + 36w2)) = 0 Reorder the terms: (-30pw + -30pw + 25p2 + 36w2) = 0 Combine like terms: -30pw + -30pw = -60pw (-60pw + 25p2 + 36w2) = 0 Solving -60pw + 25p2 + 36w2 = 0 Solving for variable 'p'. Factor a trinomial. (5p + -6w)(5p + -6w) = 0Subproblem 1
Set the factor '(5p + -6w)' equal to zero and attempt to solve: Simplifying 5p + -6w = 0 Solving 5p + -6w = 0 Move all terms containing p to the left, all other terms to the right. Add '6w' to each side of the equation. 5p + -6w + 6w = 0 + 6w Combine like terms: -6w + 6w = 0 5p + 0 = 0 + 6w 5p = 0 + 6w Remove the zero: 5p = 6w Divide each side by '5'. p = 1.2w Simplifying p = 1.2wSubproblem 2
Set the factor '(5p + -6w)' equal to zero and attempt to solve: Simplifying 5p + -6w = 0 Solving 5p + -6w = 0 Move all terms containing p to the left, all other terms to the right. Add '6w' to each side of the equation. 5p + -6w + 6w = 0 + 6w Combine like terms: -6w + 6w = 0 5p + 0 = 0 + 6w 5p = 0 + 6w Remove the zero: 5p = 6w Divide each side by '5'. p = 1.2w Simplifying p = 1.2wSolution
p = {1.2w, 1.2w}
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