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Simplifying 6w2 + 5wp + -21p2 = 0 Reorder the terms: 5pw + -21p2 + 6w2 = 0 Solving 5pw + -21p2 + 6w2 = 0 Solving for variable 'p'. Factor a trinomial. (-7p + -3w)(3p + -2w) = 0Subproblem 1
Set the factor '(-7p + -3w)' equal to zero and attempt to solve: Simplifying -7p + -3w = 0 Solving -7p + -3w = 0 Move all terms containing p to the left, all other terms to the right. Add '3w' to each side of the equation. -7p + -3w + 3w = 0 + 3w Combine like terms: -3w + 3w = 0 -7p + 0 = 0 + 3w -7p = 0 + 3w Remove the zero: -7p = 3w Divide each side by '-7'. p = -0.4285714286w Simplifying p = -0.4285714286wSubproblem 2
Set the factor '(3p + -2w)' equal to zero and attempt to solve: Simplifying 3p + -2w = 0 Solving 3p + -2w = 0 Move all terms containing p to the left, all other terms to the right. Add '2w' to each side of the equation. 3p + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 3p + 0 = 0 + 2w 3p = 0 + 2w Remove the zero: 3p = 2w Divide each side by '3'. p = 0.6666666667w Simplifying p = 0.6666666667wSolution
p = {-0.4285714286w, 0.6666666667w}
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