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Simplifying 5m4 + -7m2 + -6 = 0 Reorder the terms: -6 + -7m2 + 5m4 = 0 Solving -6 + -7m2 + 5m4 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -5m2)(2 + -1m2) = 0Subproblem 1
Set the factor '(-3 + -5m2)' equal to zero and attempt to solve: Simplifying -3 + -5m2 = 0 Solving -3 + -5m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5m2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5m2 = 0 + 3 -5m2 = 0 + 3 Combine like terms: 0 + 3 = 3 -5m2 = 3 Divide each side by '-5'. m2 = -0.6 Simplifying m2 = -0.6 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 '(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 Take the square root of each side: m = {-1.414213562, 1.414213562}Solution
m = {-1.414213562, 1.414213562}
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