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Simplifying 0 = 13x2 + -3x Reorder the terms: 0 = -3x + 13x2 Solving 0 = -3x + 13x2 Solving for variable 'x'. Remove the zero: 3x + -13x2 = -3x + 13x2 + 3x + -13x2 Reorder the terms: 3x + -13x2 = -3x + 3x + 13x2 + -13x2 Combine like terms: -3x + 3x = 0 3x + -13x2 = 0 + 13x2 + -13x2 3x + -13x2 = 13x2 + -13x2 Combine like terms: 13x2 + -13x2 = 0 3x + -13x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(3 + -13x) = 0Subproblem 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 '(3 + -13x)' equal to zero and attempt to solve: Simplifying 3 + -13x = 0 Solving 3 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -13x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -13x = 0 + -3 -13x = 0 + -3 Combine like terms: 0 + -3 = -3 -13x = -3 Divide each side by '-13'. x = 0.2307692308 Simplifying x = 0.2307692308Solution
x = {0, 0.2307692308}
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