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Simplifying -3(3x + 4x) + 5x(x + 3x + 2) = 0 Combine like terms: 3x + 4x = 7x -3(7x) + 5x(x + 3x + 2) = 0 Remove parenthesis around (7x) -3 * 7x + 5x(x + 3x + 2) = 0 Multiply -3 * 7 -21x + 5x(x + 3x + 2) = 0 Reorder the terms: -21x + 5x(2 + x + 3x) = 0 Combine like terms: x + 3x = 4x -21x + 5x(2 + 4x) = 0 -21x + (2 * 5x + 4x * 5x) = 0 -21x + (10x + 20x2) = 0 Combine like terms: -21x + 10x = -11x -11x + 20x2 = 0 Solving -11x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-11 + 20x) = 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 '(-11 + 20x)' equal to zero and attempt to solve: Simplifying -11 + 20x = 0 Solving -11 + 20x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 20x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 20x = 0 + 11 20x = 0 + 11 Combine like terms: 0 + 11 = 11 20x = 11 Divide each side by '20'. x = 0.55 Simplifying x = 0.55Solution
x = {0, 0.55}
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