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Simplifying 6w2 + 11wp + -10p2 = 0 Reorder the terms: 11pw + -10p2 + 6w2 = 0 Solving 11pw + -10p2 + 6w2 = 0 Solving for variable 'p'. Factor a trinomial. (-5p + -2w)(2p + -3w) = 0Subproblem 1
Set the factor '(-5p + -2w)' equal to zero and attempt to solve: Simplifying -5p + -2w = 0 Solving -5p + -2w = 0 Move all terms containing p to the left, all other terms to the right. Add '2w' to each side of the equation. -5p + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 -5p + 0 = 0 + 2w -5p = 0 + 2w Remove the zero: -5p = 2w Divide each side by '-5'. p = -0.4w Simplifying p = -0.4wSubproblem 2
Set the factor '(2p + -3w)' equal to zero and attempt to solve: Simplifying 2p + -3w = 0 Solving 2p + -3w = 0 Move all terms containing p to the left, all other terms to the right. Add '3w' to each side of the equation. 2p + -3w + 3w = 0 + 3w Combine like terms: -3w + 3w = 0 2p + 0 = 0 + 3w 2p = 0 + 3w Remove the zero: 2p = 3w Divide each side by '2'. p = 1.5w Simplifying p = 1.5wSolution
p = {-0.4w, 1.5w}
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