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Simplifying m4 + -3m2 + -10 = 0 Reorder the terms: -10 + -3m2 + m4 = 0 Solving -10 + -3m2 + m4 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -1m2)(5 + -1m2) = 0Subproblem 1
Set the factor '(-2 + -1m2)' equal to zero and attempt to solve: Simplifying -2 + -1m2 = 0 Solving -2 + -1m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1m2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m2 = 0 + 2 -1m2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1m2 = 2 Divide each side by '-1'. m2 = -2 Simplifying m2 = -2 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 '(5 + -1m2)' equal to zero and attempt to solve: Simplifying 5 + -1m2 = 0 Solving 5 + -1m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m2 = 0 + -5 -1m2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1m2 = -5 Divide each side by '-1'. m2 = 5 Simplifying m2 = 5 Take the square root of each side: m = {-2.236067978, 2.236067978}Solution
m = {-2.236067978, 2.236067978}
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