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Simplifying 5c2 + -2ch + -7h2 = 0 Reorder the terms: -2ch + 5c2 + -7h2 = 0 Solving -2ch + 5c2 + -7h2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + -7h)(c + h) = 0Subproblem 1
Set the factor '(5c + -7h)' equal to zero and attempt to solve: Simplifying 5c + -7h = 0 Solving 5c + -7h = 0 Move all terms containing c to the left, all other terms to the right. Add '7h' to each side of the equation. 5c + -7h + 7h = 0 + 7h Combine like terms: -7h + 7h = 0 5c + 0 = 0 + 7h 5c = 0 + 7h Remove the zero: 5c = 7h Divide each side by '5'. c = 1.4h Simplifying c = 1.4hSubproblem 2
Set the factor '(c + h)' equal to zero and attempt to solve: Simplifying c + h = 0 Solving c + h = 0 Move all terms containing c to the left, all other terms to the right. Add '-1h' to each side of the equation. c + h + -1h = 0 + -1h Combine like terms: h + -1h = 0 c + 0 = 0 + -1h c = 0 + -1h Remove the zero: c = -1h Simplifying c = -1hSolution
c = {1.4h, -1h}
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