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Simplifying 6x(x3 + 7) = 0 Reorder the terms: 6x(7 + x3) = 0 (7 * 6x + x3 * 6x) = 0 (42x + 6x4) = 0 Solving 42x + 6x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(7 + x3) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(7 + x3)' equal to zero and attempt to solve: Simplifying 7 + x3 = 0 Solving 7 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x3 = 0 + -7 x3 = 0 + -7 Combine like terms: 0 + -7 = -7 x3 = -7 Simplifying x3 = -7 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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