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Simplifying 3m4 + -75 = 0 Reorder the terms: -75 + 3m4 = 0 Solving -75 + 3m4 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + 3m4 = 0 + 75 Combine like terms: -75 + 75 = 0 0 + 3m4 = 0 + 75 3m4 = 0 + 75 Combine like terms: 0 + 75 = 75 3m4 = 75 Divide each side by '3'. m4 = 25 Simplifying m4 = 25 Reorder the terms: -25 + m4 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + m4 = 0 Factor a difference between two squares. (5 + m2)(-5 + m2) = 0Subproblem 1
Set the factor '(5 + m2)' equal to zero and attempt to solve: Simplifying 5 + m2 = 0 Solving 5 + m2 = 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 + m2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m2 = 0 + -5 m2 = 0 + -5 Combine like terms: 0 + -5 = -5 m2 = -5 Simplifying m2 = -5 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 + m2)' equal to zero and attempt to solve: Simplifying -5 + m2 = 0 Solving -5 + m2 = 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 + m2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + m2 = 0 + 5 m2 = 0 + 5 Combine like terms: 0 + 5 = 5 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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