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Simplifying 5x(x + -1) + 7x2 = (6x + -1)(2x + 3) Reorder the terms: 5x(-1 + x) + 7x2 = (6x + -1)(2x + 3) (-1 * 5x + x * 5x) + 7x2 = (6x + -1)(2x + 3) (-5x + 5x2) + 7x2 = (6x + -1)(2x + 3) Combine like terms: 5x2 + 7x2 = 12x2 -5x + 12x2 = (6x + -1)(2x + 3) Reorder the terms: -5x + 12x2 = (-1 + 6x)(2x + 3) Reorder the terms: -5x + 12x2 = (-1 + 6x)(3 + 2x) Multiply (-1 + 6x) * (3 + 2x) -5x + 12x2 = (-1(3 + 2x) + 6x * (3 + 2x)) -5x + 12x2 = ((3 * -1 + 2x * -1) + 6x * (3 + 2x)) -5x + 12x2 = ((-3 + -2x) + 6x * (3 + 2x)) -5x + 12x2 = (-3 + -2x + (3 * 6x + 2x * 6x)) -5x + 12x2 = (-3 + -2x + (18x + 12x2)) Combine like terms: -2x + 18x = 16x -5x + 12x2 = (-3 + 16x + 12x2) Add '-12x2' to each side of the equation. -5x + 12x2 + -12x2 = -3 + 16x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -5x + 0 = -3 + 16x + 12x2 + -12x2 -5x = -3 + 16x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -5x = -3 + 16x + 0 -5x = -3 + 16x Solving -5x = -3 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -5x + -16x = -3 + 16x + -16x Combine like terms: -5x + -16x = -21x -21x = -3 + 16x + -16x Combine like terms: 16x + -16x = 0 -21x = -3 + 0 -21x = -3 Divide each side by '-21'. x = 0.1428571429 Simplifying x = 0.1428571429
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