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Simplifying c2 + -3cz + -70z2 = 0 Reorder the terms: -3cz + c2 + -70z2 = 0 Solving -3cz + c2 + -70z2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -10z)(c + 7z) = 0Subproblem 1
Set the factor '(c + -10z)' equal to zero and attempt to solve: Simplifying c + -10z = 0 Solving c + -10z = 0 Move all terms containing c to the left, all other terms to the right. Add '10z' to each side of the equation. c + -10z + 10z = 0 + 10z Combine like terms: -10z + 10z = 0 c + 0 = 0 + 10z c = 0 + 10z Remove the zero: c = 10z Simplifying c = 10zSubproblem 2
Set the factor '(c + 7z)' equal to zero and attempt to solve: Simplifying c + 7z = 0 Solving c + 7z = 0 Move all terms containing c to the left, all other terms to the right. Add '-7z' to each side of the equation. c + 7z + -7z = 0 + -7z Combine like terms: 7z + -7z = 0 c + 0 = 0 + -7z c = 0 + -7z Remove the zero: c = -7z Simplifying c = -7zSolution
c = {10z, -7z}
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