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Simplifying 14x3 = 23x Solving 14x3 = 23x Solving for variable 'x'. Reorder the terms: -23x + 14x3 = 23x + -23x Combine like terms: 23x + -23x = 0 -23x + 14x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-23 + 14x2) = 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 '(-23 + 14x2)' equal to zero and attempt to solve: Simplifying -23 + 14x2 = 0 Solving -23 + 14x2 = 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 + 14x2 = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 14x2 = 0 + 23 14x2 = 0 + 23 Combine like terms: 0 + 23 = 23 14x2 = 23 Divide each side by '14'. x2 = 1.642857143 Simplifying x2 = 1.642857143 Take the square root of each side: x = {-1.281739889, 1.281739889}Solution
x = {0, -1.281739889, 1.281739889}
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