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Simplifying (21x2 + 14x) = 7x Reorder the terms: (14x + 21x2) = 7x Remove parenthesis around (14x + 21x2) 14x + 21x2 = 7x Solving 14x + 21x2 = 7x Solving for variable 'x'. Reorder the terms: 14x + -7x + 21x2 = 7x + -7x Combine like terms: 14x + -7x = 7x 7x + 21x2 = 7x + -7x Combine like terms: 7x + -7x = 0 7x + 21x2 = 0 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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