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Simplifying (2n4 + -3)(2n4 + 3) = 0 Reorder the terms: (-3 + 2n4)(2n4 + 3) = 0 Reorder the terms: (-3 + 2n4)(3 + 2n4) = 0 Multiply (-3 + 2n4) * (3 + 2n4) (-3(3 + 2n4) + 2n4 * (3 + 2n4)) = 0 ((3 * -3 + 2n4 * -3) + 2n4 * (3 + 2n4)) = 0 ((-9 + -6n4) + 2n4 * (3 + 2n4)) = 0 (-9 + -6n4 + (3 * 2n4 + 2n4 * 2n4)) = 0 (-9 + -6n4 + (6n4 + 4n8)) = 0 Combine like terms: -6n4 + 6n4 = 0 (-9 + 0 + 4n8) = 0 (-9 + 4n8) = 0 Solving -9 + 4n8 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4n8 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4n8 = 0 + 9 4n8 = 0 + 9 Combine like terms: 0 + 9 = 9 4n8 = 9 Divide each side by '4'. n8 = 2.25 Simplifying n8 = 2.25 Reorder the terms: -2.25 + n8 = 2.25 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 -2.25 + n8 = 0.00 Factor a difference between two squares. (1.5 + n4)(-1.5 + n4) = 0.00Subproblem 1
Set the factor '(1.5 + n4)' equal to zero and attempt to solve: Simplifying 1.5 + n4 = 0 Solving 1.5 + n4 = 0 Move all terms containing n to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + n4 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + n4 = 0 + -1.5 n4 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 n4 = -1.5 Simplifying n4 = -1.5 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 '(-1.5 + n4)' equal to zero and attempt to solve: Simplifying -1.5 + n4 = 0 Solving -1.5 + n4 = 0 Move all terms containing n to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + n4 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + n4 = 0 + 1.5 n4 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 n4 = 1.5 Simplifying n4 = 1.5 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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