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Simplifying 3x2 + -1x = 13x Reorder the terms: -1x + 3x2 = 13x Solving -1x + 3x2 = 13x Solving for variable 'x'. Reorder the terms: -1x + -13x + 3x2 = 13x + -13x Combine like terms: -1x + -13x = -14x -14x + 3x2 = 13x + -13x Combine like terms: 13x + -13x = 0 -14x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-14 + 3x) = 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 '(-14 + 3x)' equal to zero and attempt to solve: Simplifying -14 + 3x = 0 Solving -14 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 0 + 14 3x = 0 + 14 Combine like terms: 0 + 14 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667Solution
x = {0, 4.666666667}
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