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Simplifying 6x2 + -23x + -14x = 0 Reorder the terms: -23x + -14x + 6x2 = 0 Combine like terms: -23x + -14x = -37x -37x + 6x2 = 0 Solving -37x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-37 + 6x) = 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 '(-37 + 6x)' equal to zero and attempt to solve: Simplifying -37 + 6x = 0 Solving -37 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 6x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 6x = 0 + 37 6x = 0 + 37 Combine like terms: 0 + 37 = 37 6x = 37 Divide each side by '6'. x = 6.166666667 Simplifying x = 6.166666667Solution
x = {0, 6.166666667}
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