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Simplifying (5x(3x + 2) + -4) + -1(3x(5x + -4) + 2) = 0 Reorder the terms: (5x(2 + 3x) + -4) + -1(3x(5x + -4) + 2) = 0 ((2 * 5x + 3x * 5x) + -4) + -1(3x(5x + -4) + 2) = 0 ((10x + 15x2) + -4) + -1(3x(5x + -4) + 2) = 0 Reorder the terms: (-4 + 10x + 15x2) + -1(3x(5x + -4) + 2) = 0 Remove parenthesis around (-4 + 10x + 15x2) -4 + 10x + 15x2 + -1(3x(5x + -4) + 2) = 0 Reorder the terms: -4 + 10x + 15x2 + -1(3x(-4 + 5x) + 2) = 0 -4 + 10x + 15x2 + -1((-4 * 3x + 5x * 3x) + 2) = 0 -4 + 10x + 15x2 + -1((-12x + 15x2) + 2) = 0 Reorder the terms: -4 + 10x + 15x2 + -1(2 + -12x + 15x2) = 0 -4 + 10x + 15x2 + (2 * -1 + -12x * -1 + 15x2 * -1) = 0 -4 + 10x + 15x2 + (-2 + 12x + -15x2) = 0 Reorder the terms: -4 + -2 + 10x + 12x + 15x2 + -15x2 = 0 Combine like terms: -4 + -2 = -6 -6 + 10x + 12x + 15x2 + -15x2 = 0 Combine like terms: 10x + 12x = 22x -6 + 22x + 15x2 + -15x2 = 0 Combine like terms: 15x2 + -15x2 = 0 -6 + 22x + 0 = 0 -6 + 22x = 0 Solving -6 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 22x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 22x = 0 + 6 22x = 0 + 6 Combine like terms: 0 + 6 = 6 22x = 6 Divide each side by '22'. x = 0.2727272727 Simplifying x = 0.2727272727
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