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Simplifying 2n4 + 5n2 + -63 = 0 Reorder the terms: -63 + 5n2 + 2n4 = 0 Solving -63 + 5n2 + 2n4 = 0 Solving for variable 'n'. Factor a trinomial. (-7 + -1n2)(9 + -2n2) = 0Subproblem 1
Set the factor '(-7 + -1n2)' equal to zero and attempt to solve: Simplifying -7 + -1n2 = 0 Solving -7 + -1n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1n2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1n2 = 0 + 7 -1n2 = 0 + 7 Combine like terms: 0 + 7 = 7 -1n2 = 7 Divide each side by '-1'. n2 = -7 Simplifying n2 = -7 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 '(9 + -2n2)' equal to zero and attempt to solve: Simplifying 9 + -2n2 = 0 Solving 9 + -2n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2n2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2n2 = 0 + -9 -2n2 = 0 + -9 Combine like terms: 0 + -9 = -9 -2n2 = -9 Divide each side by '-2'. n2 = 4.5 Simplifying n2 = 4.5 Take the square root of each side: n = {-2.121320344, 2.121320344}Solution
n = {-2.121320344, 2.121320344}
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