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Simplifying 5x4 + -7x2 + -24 = 0 Reorder the terms: -24 + -7x2 + 5x4 = 0 Solving -24 + -7x2 + 5x4 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -5x2)(3 + -1x2) = 0Subproblem 1
Set the factor '(-8 + -5x2)' equal to zero and attempt to solve: Simplifying -8 + -5x2 = 0 Solving -8 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x2 = 0 + 8 -5x2 = 0 + 8 Combine like terms: 0 + 8 = 8 -5x2 = 8 Divide each side by '-5'. x2 = -1.6 Simplifying x2 = -1.6 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 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 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 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {-1.732050808, 1.732050808}
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