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Simplifying 5x2 = 14x Solving 5x2 = 14x Solving for variable 'x'. Reorder the terms: -14x + 5x2 = 14x + -14x Combine like terms: 14x + -14x = 0 -14x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-14 + 5x) = 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 + 5x)' equal to zero and attempt to solve: Simplifying -14 + 5x = 0 Solving -14 + 5x = 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 + 5x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 0 + 14 5x = 0 + 14 Combine like terms: 0 + 14 = 14 5x = 14 Divide each side by '5'. x = 2.8 Simplifying x = 2.8Solution
x = {0, 2.8}
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