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Simplifying 3c4 + 7 = 250 Reorder the terms: 7 + 3c4 = 250 Solving 7 + 3c4 = 250 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3c4 = 250 + -7 Combine like terms: 7 + -7 = 0 0 + 3c4 = 250 + -7 3c4 = 250 + -7 Combine like terms: 250 + -7 = 243 3c4 = 243 Divide each side by '3'. c4 = 81 Simplifying c4 = 81 Reorder the terms: -81 + c4 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + c4 = 0 Factor a difference between two squares. (9 + c2)(-9 + c2) = 0 Factor a difference between two squares. (9 + c2)((3 + c)(-3 + c)) = 0Subproblem 1
Set the factor '(9 + c2)' equal to zero and attempt to solve: Simplifying 9 + c2 = 0 Solving 9 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + c2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + c2 = 0 + -9 c2 = 0 + -9 Combine like terms: 0 + -9 = -9 c2 = -9 Simplifying c2 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + c)' equal to zero and attempt to solve: Simplifying 3 + c = 0 Solving 3 + c = 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 + c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + c = 0 + -3 c = 0 + -3 Combine like terms: 0 + -3 = -3 c = -3 Simplifying c = -3Subproblem 3
Set the factor '(-3 + c)' equal to zero and attempt to solve: Simplifying -3 + c = 0 Solving -3 + c = 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 + c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + c = 0 + 3 c = 0 + 3 Combine like terms: 0 + 3 = 3 c = 3 Simplifying c = 3Solution
c = {-3, 3}
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