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