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Simplifying 6w2 + 11wp + -35p2 = 0 Reorder the terms: 11pw + -35p2 + 6w2 = 0 Solving 11pw + -35p2 + 6w2 = 0 Solving for variable 'p'. Factor a trinomial. (-7p + -2w)(5p + -3w) = 0Subproblem 1
Set the factor '(-7p + -2w)' equal to zero and attempt to solve: Simplifying -7p + -2w = 0 Solving -7p + -2w = 0 Move all terms containing p to the left, all other terms to the right. Add '2w' to each side of the equation. -7p + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 -7p + 0 = 0 + 2w -7p = 0 + 2w Remove the zero: -7p = 2w Divide each side by '-7'. p = -0.2857142857w Simplifying p = -0.2857142857wSubproblem 2
Set the factor '(5p + -3w)' equal to zero and attempt to solve: Simplifying 5p + -3w = 0 Solving 5p + -3w = 0 Move all terms containing p to the left, all other terms to the right. Add '3w' to each side of the equation. 5p + -3w + 3w = 0 + 3w Combine like terms: -3w + 3w = 0 5p + 0 = 0 + 3w 5p = 0 + 3w Remove the zero: 5p = 3w Divide each side by '5'. p = 0.6w Simplifying p = 0.6wSolution
p = {-0.2857142857w, 0.6w}
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