C^2-7c+6= - Solution

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c^2-7c+6=

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Equation: SOLVE

Solution for c^2-7c+6= equation:

Simplifying c2 + -7c + 6 = 0 Reorder the terms: 6 + -7c + c2 = 0 Solving 6 + -7c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (1 + -1c)(6 + -1c) = 0

Subproblem 1

Set the factor '(1 + -1c)' equal to zero and attempt to solve: Simplifying 1 + -1c = 0 Solving 1 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1c = 0 + -1 -1c = 0 + -1 Combine like terms: 0 + -1 = -1 -1c = -1 Divide each side by '-1'. c = 1 Simplifying c = 1

Subproblem 2

Set the factor '(6 + -1c)' equal to zero and attempt to solve: Simplifying 6 + -1c = 0 Solving 6 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1c = 0 + -6 -1c = 0 + -6 Combine like terms: 0 + -6 = -6 -1c = -6 Divide each side by '-1'. c = 6 Simplifying c = 6

Solution

c = {1, 6}

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