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Simplifying 4x(6x3 + -10x) = 0 Reorder the terms: 4x(-10x + 6x3) = 0 (-10x * 4x + 6x3 * 4x) = 0 (-40x2 + 24x4) = 0 Solving -40x2 + 24x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x2'. 8x2(-5 + 3x2) = 0 Ignore the factor 8.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 '(-5 + 3x2)' equal to zero and attempt to solve: Simplifying -5 + 3x2 = 0 Solving -5 + 3x2 = 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 + 3x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x2 = 0 + 5 3x2 = 0 + 5 Combine like terms: 0 + 5 = 5 3x2 = 5 Divide each side by '3'. x2 = 1.666666667 Simplifying x2 = 1.666666667 Take the square root of each side: x = {-1.290994449, 1.290994449}Solution
x = {0, -1.290994449, 1.290994449}
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