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Simplifying -7x(3x + -1) = 0 Reorder the terms: -7x(-1 + 3x) = 0 (-1 * -7x + 3x * -7x) = 0 (7x + -21x2) = 0 Solving 7x + -21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(1 + -3x) = 0 Ignore the factor 7.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 '(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, 0.3333333333}
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