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Simplifying 3x(x + -2) = 7x + 4x Reorder the terms: 3x(-2 + x) = 7x + 4x (-2 * 3x + x * 3x) = 7x + 4x (-6x + 3x2) = 7x + 4x Combine like terms: 7x + 4x = 11x -6x + 3x2 = 11x Solving -6x + 3x2 = 11x Solving for variable 'x'. Reorder the terms: -6x + -11x + 3x2 = 11x + -11x Combine like terms: -6x + -11x = -17x -17x + 3x2 = 11x + -11x Combine like terms: 11x + -11x = 0 -17x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-17 + 3x) = 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 '(-17 + 3x)' equal to zero and attempt to solve: Simplifying -17 + 3x = 0 Solving -17 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 3x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 0 + 17 3x = 0 + 17 Combine like terms: 0 + 17 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667Solution
x = {0, 5.666666667}
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