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Simplifying 9x(-4x) + 3x = 0 Remove parenthesis around (-4x) 9x * -4x + 3x = 0 Reorder the terms for easier multiplication: 9 * -4x * x + 3x = 0 Multiply 9 * -4 -36x * x + 3x = 0 Multiply x * x -36x2 + 3x = 0 Reorder the terms: 3x + -36x2 = 0 Solving 3x + -36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(1 + -12x) = 0 Ignore the factor 3.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 + -12x)' equal to zero and attempt to solve: Simplifying 1 + -12x = 0 Solving 1 + -12x = 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 + -12x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = 0 + -1 -12x = 0 + -1 Combine like terms: 0 + -1 = -1 -12x = -1 Divide each side by '-12'. x = 0.08333333333 Simplifying x = 0.08333333333Solution
x = {0, 0.08333333333}
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