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Simplifying 0 = x(5x + 1) Reorder the terms: 0 = x(1 + 5x) 0 = (1 * x + 5x * x) 0 = (1x + 5x2) Solving 0 = 1x + 5x2 Solving for variable 'x'. Remove the zero: -1x + -5x2 = 1x + 5x2 + -1x + -5x2 Reorder the terms: -1x + -5x2 = 1x + -1x + 5x2 + -5x2 Combine like terms: 1x + -1x = 0 -1x + -5x2 = 0 + 5x2 + -5x2 -1x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -1x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(1 + 5x) = 0 Ignore the factor -1.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 '(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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