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Simplifying 6X2 + -1X(1 + 8X) = 0 6X2 + (1 * -1X + 8X * -1X) = 0 6X2 + (-1X + -8X2) = 0 Reorder the terms: -1X + 6X2 + -8X2 = 0 Combine like terms: 6X2 + -8X2 = -2X2 -1X + -2X2 = 0 Solving -1X + -2X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '-1X'. -1X(1 + 2X) = 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 + 2X)' equal to zero and attempt to solve: Simplifying 1 + 2X = 0 Solving 1 + 2X = 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 + 2X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2X = 0 + -1 2X = 0 + -1 Combine like terms: 0 + -1 = -1 2X = -1 Divide each side by '2'. X = -0.5 Simplifying X = -0.5Solution
X = {0, -0.5}
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