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Simplifying 16x4 + 24x2 + -27 = 0 Reorder the terms: -27 + 24x2 + 16x4 = 0 Solving -27 + 24x2 + 16x4 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -4x2)(3 + -4x2) = 0Subproblem 1
Set the factor '(-9 + -4x2)' equal to zero and attempt to solve: Simplifying -9 + -4x2 = 0 Solving -9 + -4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x2 = 0 + 9 -4x2 = 0 + 9 Combine like terms: 0 + 9 = 9 -4x2 = 9 Divide each side by '-4'. x2 = -2.25 Simplifying x2 = -2.25 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 '(3 + -4x2)' equal to zero and attempt to solve: Simplifying 3 + -4x2 = 0 Solving 3 + -4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x2 = 0 + -3 -4x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -4x2 = -3 Divide each side by '-4'. x2 = 0.75 Simplifying x2 = 0.75 Take the square root of each side: x = {-0.866025404, 0.866025404}Solution
x = {-0.866025404, 0.866025404}
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