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Simplifying 42x2 + -69x = 0 Reorder the terms: -69x + 42x2 = 0 Solving -69x + 42x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-23 + 14x) = 0 Ignore the factor 3.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 '(-23 + 14x)' equal to zero and attempt to solve: Simplifying -23 + 14x = 0 Solving -23 + 14x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 14x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 14x = 0 + 23 14x = 0 + 23 Combine like terms: 0 + 23 = 23 14x = 23 Divide each side by '14'. x = 1.642857143 Simplifying x = 1.642857143Solution
x = {0, 1.642857143}
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