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Simplifying 6x3(15x + -5) = 0 Reorder the terms: 6x3(-5 + 15x) = 0 (-5 * 6x3 + 15x * 6x3) = 0 (-30x3 + 90x4) = 0 Solving -30x3 + 90x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '30x3'. 30x3(-1 + 3x) = 0 Ignore the factor 30.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + 3x)' equal to zero and attempt to solve: Simplifying -1 + 3x = 0 Solving -1 + 3x = 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 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 0 + 1 3x = 0 + 1 Combine like terms: 0 + 1 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {0.3333333333}
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