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Simplifying 3x(4x4 + -5x) = 0 Reorder the terms: 3x(-5x + 4x4) = 0 (-5x * 3x + 4x4 * 3x) = 0 (-15x2 + 12x5) = 0 Solving -15x2 + 12x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(-5 + 4x3) = 0 Ignore the factor 3.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 + 4x3)' equal to zero and attempt to solve: Simplifying -5 + 4x3 = 0 Solving -5 + 4x3 = 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 + 4x3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4x3 = 0 + 5 4x3 = 0 + 5 Combine like terms: 0 + 5 = 5 4x3 = 5 Divide each side by '4'. x3 = 1.25 Simplifying x3 = 1.25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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