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Simplifying 3x2 + 5x4 + -2 = 0 Reorder the terms: -2 + 3x2 + 5x4 = 0 Solving -2 + 3x2 + 5x4 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x2)(2 + -5x2) = 0Subproblem 1
Set the factor '(-1 + -1x2)' equal to zero and attempt to solve: Simplifying -1 + -1x2 = 0 Solving -1 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x2 = 0 + 1 -1x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1x2 = 1 Divide each side by '-1'. x2 = -1 Simplifying x2 = -1 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 '(2 + -5x2)' equal to zero and attempt to solve: Simplifying 2 + -5x2 = 0 Solving 2 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x2 = 0 + -2 -5x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -5x2 = -2 Divide each side by '-5'. x2 = 0.4 Simplifying x2 = 0.4 Take the square root of each side: x = {-0.632455532, 0.632455532}Solution
x = {-0.632455532, 0.632455532}
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