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Simplifying 0 = (-250x2) + -1(2x) Remove parenthesis around (2x) 0 = (-250x2) + -1 * 2x Multiply -1 * 2 0 = (-250x2) + -2x Reorder the terms: 0 = -2x + (-250x2) Solving 0 = -2x + (-250x2) Solving for variable 'x'. Remove the zero: 2x + (250x2) = -2x + (-250x2) + 2x + (250x2) Reorder the terms: 2x + (250x2) = -2x + 2x + (-250x2) + (250x2) Combine like terms: -2x + 2x = 0 2x + (250x2) = 0 + (-250x2) + (250x2) 2x + (250x2) = (-250x2) + (250x2) Combine like terms: (-250x2) + (250x2) = 0 2x + (250x2) = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(1 + (125x)) = 0 Ignore the factor 2.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 + (125x))' equal to zero and attempt to solve: Simplifying 1 + (125x) = 0 Solving 1 + (125x) = 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 + (125x) = 0 + -1 Combine like terms: 1 + -1 = 0 0 + (125x) = 0 + -1 (125x) = 0 + -1 Combine like terms: 0 + -1 = -1 (125x) = -1 Divide each side by '125'. x = -0.008 Simplifying x = -0.008Solution
x = {0, -0.008}
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