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Simplifying 4x5 + -25x = 0 Reorder the terms: -25x + 4x5 = 0 Solving -25x + 4x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-25 + 4x4) = 0 Factor a difference between two squares. x((5 + 2x2)(-5 + 2x2)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(5 + 2x2)' equal to zero and attempt to solve: Simplifying 5 + 2x2 = 0 Solving 5 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x2 = 0 + -5 2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 2x2 = -5 Divide each side by '2'. x2 = -2.5 Simplifying x2 = -2.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-5 + 2x2)' equal to zero and attempt to solve: Simplifying -5 + 2x2 = 0 Solving -5 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x2 = 0 + 5 2x2 = 0 + 5 Combine like terms: 0 + 5 = 5 2x2 = 5 Divide each side by '2'. x2 = 2.5 Simplifying x2 = 2.5 Take the square root of each side: x = {-1.58113883, 1.58113883}Solution
x = {0, -1.58113883, 1.58113883}
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