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Simplifying c4 + 25 + -10c2 = 0 Reorder the terms: 25 + -10c2 + c4 = 0 Solving 25 + -10c2 + c4 = 0 Solving for variable 'c'. Factor a trinomial. (5 + -1c2)(5 + -1c2) = 0Subproblem 1
Set the factor '(5 + -1c2)' equal to zero and attempt to solve: Simplifying 5 + -1c2 = 0 Solving 5 + -1c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1c2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1c2 = 0 + -5 -1c2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1c2 = -5 Divide each side by '-1'. c2 = 5 Simplifying c2 = 5 Take the square root of each side: c = {-2.236067978, 2.236067978}Subproblem 2
Set the factor '(5 + -1c2)' equal to zero and attempt to solve: Simplifying 5 + -1c2 = 0 Solving 5 + -1c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1c2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1c2 = 0 + -5 -1c2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1c2 = -5 Divide each side by '-1'. c2 = 5 Simplifying c2 = 5 Take the square root of each side: c = {-2.236067978, 2.236067978}Solution
c = {-2.236067978, 2.236067978, -2.236067978, 2.236067978}
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