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Simplifying 5x(-3x4 + 4x) = 0 Reorder the terms: 5x(4x + -3x4) = 0 (4x * 5x + -3x4 * 5x) = 0 (20x2 + -15x5) = 0 Solving 20x2 + -15x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(4 + -3x3) = 0 Ignore the factor 5.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 '(4 + -3x3)' equal to zero and attempt to solve: Simplifying 4 + -3x3 = 0 Solving 4 + -3x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x3 = 0 + -4 -3x3 = 0 + -4 Combine like terms: 0 + -4 = -4 -3x3 = -4 Divide each side by '-3'. x3 = 1.333333333 Simplifying x3 = 1.333333333 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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