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Simplifying 5x2 = e7x Solving 5x2 = e7x Solving for variable 'x'. Reorder the terms: -1e7x + 5x2 = e7x + -1e7x Combine like terms: e7x + -1e7x = 0 -1e7x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1e7 + 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 '(-1e7 + 5x)' equal to zero and attempt to solve: Simplifying -1e7 + 5x = 0 Solving -1e7 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add 'e7' to each side of the equation. -1e7 + e7 + 5x = 0 + e7 Combine like terms: -1e7 + e7 = 0 0 + 5x = 0 + e7 5x = 0 + e7 Remove the zero: 5x = e7 Divide each side by '5'. x = 0.2e7 Simplifying x = 0.2e7Solution
x = {0, 0.2e7}
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