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Simplifying 3x(2x) + 4x + 1x = 0 Remove parenthesis around (2x) 3x * 2x + 4x + 1x = 0 Reorder the terms for easier multiplication: 3 * 2x * x + 4x + 1x = 0 Multiply 3 * 2 6x * x + 4x + 1x = 0 Multiply x * x 6x2 + 4x + 1x = 0 Reorder the terms: 4x + 1x + 6x2 = 0 Combine like terms: 4x + 1x = 5x 5x + 6x2 = 0 Solving 5x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + 6x) = 0Subproblem 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 '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Solution
x = {0, -0.8333333333}
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