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Simplifying 0 = 42x2 + -14x Reorder the terms: 0 = -14x + 42x2 Solving 0 = -14x + 42x2 Solving for variable 'x'. Remove the zero: 14x + -42x2 = -14x + 42x2 + 14x + -42x2 Reorder the terms: 14x + -42x2 = -14x + 14x + 42x2 + -42x2 Combine like terms: -14x + 14x = 0 14x + -42x2 = 0 + 42x2 + -42x2 14x + -42x2 = 42x2 + -42x2 Combine like terms: 42x2 + -42x2 = 0 14x + -42x2 = 0 Factor out the Greatest Common Factor (GCF), '14x'. 14x(1 + -3x) = 0 Ignore the factor 14.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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