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Simplifying 7m2 + -12mc + -4c2 = 0 Reorder the terms: -12cm + -4c2 + 7m2 = 0 Solving -12cm + -4c2 + 7m2 = 0 Solving for variable 'c'. Factor a trinomial. (-2c + -7m)(2c + -1m) = 0Subproblem 1
Set the factor '(-2c + -7m)' equal to zero and attempt to solve: Simplifying -2c + -7m = 0 Solving -2c + -7m = 0 Move all terms containing c to the left, all other terms to the right. Add '7m' to each side of the equation. -2c + -7m + 7m = 0 + 7m Combine like terms: -7m + 7m = 0 -2c + 0 = 0 + 7m -2c = 0 + 7m Remove the zero: -2c = 7m Divide each side by '-2'. c = -3.5m Simplifying c = -3.5mSubproblem 2
Set the factor '(2c + -1m)' equal to zero and attempt to solve: Simplifying 2c + -1m = 0 Solving 2c + -1m = 0 Move all terms containing c to the left, all other terms to the right. Add 'm' to each side of the equation. 2c + -1m + m = 0 + m Combine like terms: -1m + m = 0 2c + 0 = 0 + m 2c = 0 + m Remove the zero: 2c = m Divide each side by '2'. c = 0.5m Simplifying c = 0.5mSolution
c = {-3.5m, 0.5m}
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