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Simplifying 625x4 + 175x2 + -144 = 0 Reorder the terms: -144 + 175x2 + 625x4 = 0 Solving -144 + 175x2 + 625x4 = 0 Solving for variable 'x'. Factor a trinomial. (-16 + -25x2)(9 + -25x2) = 0 Factor a difference between two squares. (-16 + -25x2)((3 + 5x)(3 + -5x)) = 0Subproblem 1
Set the factor '(-16 + -25x2)' equal to zero and attempt to solve: Simplifying -16 + -25x2 = 0 Solving -16 + -25x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -25x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -25x2 = 0 + 16 -25x2 = 0 + 16 Combine like terms: 0 + 16 = 16 -25x2 = 16 Divide each side by '-25'. x2 = -0.64 Simplifying x2 = -0.64 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 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Subproblem 3
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {-0.6, 0.6}
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