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Simplifying 288 + -2m4 = 0 Solving 288 + -2m4 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-288' to each side of the equation. 288 + -288 + -2m4 = 0 + -288 Combine like terms: 288 + -288 = 0 0 + -2m4 = 0 + -288 -2m4 = 0 + -288 Combine like terms: 0 + -288 = -288 -2m4 = -288 Divide each side by '-2'. m4 = 144 Simplifying m4 = 144 Reorder the terms: -144 + m4 = 144 + -144 Combine like terms: 144 + -144 = 0 -144 + m4 = 0 Factor a difference between two squares. (12 + m2)(-12 + m2) = 0Subproblem 1
Set the factor '(12 + m2)' equal to zero and attempt to solve: Simplifying 12 + m2 = 0 Solving 12 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + m2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + m2 = 0 + -12 m2 = 0 + -12 Combine like terms: 0 + -12 = -12 m2 = -12 Simplifying m2 = -12 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 '(-12 + m2)' equal to zero and attempt to solve: Simplifying -12 + m2 = 0 Solving -12 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + m2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + m2 = 0 + 12 m2 = 0 + 12 Combine like terms: 0 + 12 = 12 m2 = 12 Simplifying m2 = 12 Take the square root of each side: m = {-3.464101615, 3.464101615}Solution
m = {-3.464101615, 3.464101615}
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