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Simplifying 3xn4 + -27x3 = 0 Solving 3n4x + -27x3 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '27x3' to each side of the equation. 3n4x + -27x3 + 27x3 = 0 + 27x3 Combine like terms: -27x3 + 27x3 = 0 3n4x + 0 = 0 + 27x3 3n4x = 0 + 27x3 Remove the zero: 3n4x = 27x3 Divide each side by '3x'. n4 = 9x2 Simplifying n4 = 9x2 Combine like terms: 9x2 + -9x2 = 0 n4 + -9x2 = 0 Factor a difference between two squares. (n2 + 3x)(n2 + -3x) = 0Subproblem 1
Set the factor '(n2 + 3x)' equal to zero and attempt to solve: Simplifying n2 + 3x = 0 Solving n2 + 3x = 0 Move all terms containing n to the left, all other terms to the right. Add '-3x' to each side of the equation. n2 + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 n2 + 0 = 0 + -3x n2 = 0 + -3x Remove the zero: n2 = -3x Simplifying n2 = -3x 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 '(n2 + -3x)' equal to zero and attempt to solve: Simplifying n2 + -3x = 0 Solving n2 + -3x = 0 Move all terms containing n to the left, all other terms to the right. Add '3x' to each side of the equation. n2 + -3x + 3x = 0 + 3x Combine like terms: -3x + 3x = 0 n2 + 0 = 0 + 3x n2 = 0 + 3x Remove the zero: n2 = 3x Simplifying n2 = 3x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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