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Simplifying 14x3 + -13x2 = 0 Reorder the terms: -13x2 + 14x3 = 0 Solving -13x2 + 14x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-13 + 14x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-13 + 14x)' equal to zero and attempt to solve: Simplifying -13 + 14x = 0 Solving -13 + 14x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 14x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 14x = 0 + 13 14x = 0 + 13 Combine like terms: 0 + 13 = 13 14x = 13 Divide each side by '14'. x = 0.9285714286 Simplifying x = 0.9285714286Solution
x = {0, 0.9285714286}
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