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Simplifying (7c + -3)(3c + -7) = 0 Reorder the terms: (-3 + 7c)(3c + -7) = 0 Reorder the terms: (-3 + 7c)(-7 + 3c) = 0 Multiply (-3 + 7c) * (-7 + 3c) (-3(-7 + 3c) + 7c * (-7 + 3c)) = 0 ((-7 * -3 + 3c * -3) + 7c * (-7 + 3c)) = 0 ((21 + -9c) + 7c * (-7 + 3c)) = 0 (21 + -9c + (-7 * 7c + 3c * 7c)) = 0 (21 + -9c + (-49c + 21c2)) = 0 Combine like terms: -9c + -49c = -58c (21 + -58c + 21c2) = 0 Solving 21 + -58c + 21c2 = 0 Solving for variable 'c'. Factor a trinomial. (3 + -7c)(7 + -3c) = 0Subproblem 1
Set the factor '(3 + -7c)' equal to zero and attempt to solve: Simplifying 3 + -7c = 0 Solving 3 + -7c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7c = 0 + -3 -7c = 0 + -3 Combine like terms: 0 + -3 = -3 -7c = -3 Divide each side by '-7'. c = 0.4285714286 Simplifying c = 0.4285714286Subproblem 2
Set the factor '(7 + -3c)' equal to zero and attempt to solve: Simplifying 7 + -3c = 0 Solving 7 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3c = 0 + -7 -3c = 0 + -7 Combine like terms: 0 + -7 = -7 -3c = -7 Divide each side by '-3'. c = 2.333333333 Simplifying c = 2.333333333Solution
c = {0.4285714286, 2.333333333}
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