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Simplifying 80X2 + 10X = 0 Reorder the terms: 10X + 80X2 = 0 Solving 10X + 80X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '10X'. 10X(1 + 8X) = 0 Ignore the factor 10.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 + 8X)' equal to zero and attempt to solve: Simplifying 1 + 8X = 0 Solving 1 + 8X = 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 + 8X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8X = 0 + -1 8X = 0 + -1 Combine like terms: 0 + -1 = -1 8X = -1 Divide each side by '8'. X = -0.125 Simplifying X = -0.125Solution
X = {0, -0.125}
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