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Simplifying 6p2 + -11pj + -10j2 = 0 Reorder the terms: -11jp + -10j2 + 6p2 = 0 Solving -11jp + -10j2 + 6p2 = 0 Solving for variable 'j'. Factor a trinomial. (-2j + -3p)(5j + -2p) = 0Subproblem 1
Set the factor '(-2j + -3p)' equal to zero and attempt to solve: Simplifying -2j + -3p = 0 Solving -2j + -3p = 0 Move all terms containing j to the left, all other terms to the right. Add '3p' to each side of the equation. -2j + -3p + 3p = 0 + 3p Combine like terms: -3p + 3p = 0 -2j + 0 = 0 + 3p -2j = 0 + 3p Remove the zero: -2j = 3p Divide each side by '-2'. j = -1.5p Simplifying j = -1.5pSubproblem 2
Set the factor '(5j + -2p)' equal to zero and attempt to solve: Simplifying 5j + -2p = 0 Solving 5j + -2p = 0 Move all terms containing j to the left, all other terms to the right. Add '2p' to each side of the equation. 5j + -2p + 2p = 0 + 2p Combine like terms: -2p + 2p = 0 5j + 0 = 0 + 2p 5j = 0 + 2p Remove the zero: 5j = 2p Divide each side by '5'. j = 0.4p Simplifying j = 0.4pSolution
j = {-1.5p, 0.4p}
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