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Simplifying -4x(5x3 + -1x) = 0 Reorder the terms: -4x(-1x + 5x3) = 0 (-1x * -4x + 5x3 * -4x) = 0 (4x2 + -20x4) = 0 Solving 4x2 + -20x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(1 + -5x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(1 + -5x2)' equal to zero and attempt to solve: Simplifying 1 + -5x2 = 0 Solving 1 + -5x2 = 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 + -5x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x2 = 0 + -1 -5x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -5x2 = -1 Divide each side by '-5'. x2 = 0.2 Simplifying x2 = 0.2 Take the square root of each side: x = {-0.447213596, 0.447213596}Solution
x = {0, -0.447213596, 0.447213596}
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