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Simplifying 6X(1 + -9X) + -6X2 = 0 (1 * 6X + -9X * 6X) + -6X2 = 0 (6X + -54X2) + -6X2 = 0 Combine like terms: -54X2 + -6X2 = -60X2 6X + -60X2 = 0 Solving 6X + -60X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '6X'. 6X(1 + -10X) = 0 Ignore the factor 6.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 + -10X)' equal to zero and attempt to solve: Simplifying 1 + -10X = 0 Solving 1 + -10X = 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 + -10X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10X = 0 + -1 -10X = 0 + -1 Combine like terms: 0 + -1 = -1 -10X = -1 Divide each side by '-10'. X = 0.1 Simplifying X = 0.1Solution
X = {0, 0.1}
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