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Simplifying (X + 6x)(x + 6x) = 0 Combine like terms: x + 6x = 7x (X + 6x)(7x) = 0 Remove parenthesis around (7x) (X + 6x) * 7x = 0 Reorder the terms for easier multiplication: 7x(X + 6x) = 0 (X * 7x + 6x * 7x) = 0 (7xX + 42x2) = 0 Solving 7xX + 42x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(X + 6x) = 0 Ignore the factor 7.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 '(X + 6x)' equal to zero and attempt to solve: Simplifying X + 6x = 0 Solving X + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1X' to each side of the equation. X + -1X + 6x = 0 + -1X Combine like terms: X + -1X = 0 0 + 6x = 0 + -1X 6x = 0 + -1X Remove the zero: 6x = -1X Divide each side by '6'. x = -0.1666666667X Simplifying x = -0.1666666667XSolution
x = {0, -0.1666666667X}
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