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Simplifying 4c2 + -12cp + 9p2 = 0 Reorder the terms: -12cp + 4c2 + 9p2 = 0 Solving -12cp + 4c2 + 9p2 = 0 Solving for variable 'c'. Factor a trinomial. (2c + -3p)(2c + -3p) = 0Subproblem 1
Set the factor '(2c + -3p)' equal to zero and attempt to solve: Simplifying 2c + -3p = 0 Solving 2c + -3p = 0 Move all terms containing c to the left, all other terms to the right. Add '3p' to each side of the equation. 2c + -3p + 3p = 0 + 3p Combine like terms: -3p + 3p = 0 2c + 0 = 0 + 3p 2c = 0 + 3p Remove the zero: 2c = 3p Divide each side by '2'. c = 1.5p Simplifying c = 1.5pSubproblem 2
Set the factor '(2c + -3p)' equal to zero and attempt to solve: Simplifying 2c + -3p = 0 Solving 2c + -3p = 0 Move all terms containing c to the left, all other terms to the right. Add '3p' to each side of the equation. 2c + -3p + 3p = 0 + 3p Combine like terms: -3p + 3p = 0 2c + 0 = 0 + 3p 2c = 0 + 3p Remove the zero: 2c = 3p Divide each side by '2'. c = 1.5p Simplifying c = 1.5pSolution
c = {1.5p, 1.5p}
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