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Simplifying (2x + -3)(2x + -3) + 6x = (4x + 1)(x + -2) + -14 Reorder the terms: (-3 + 2x)(2x + -3) + 6x = (4x + 1)(x + -2) + -14 Reorder the terms: (-3 + 2x)(-3 + 2x) + 6x = (4x + 1)(x + -2) + -14 Multiply (-3 + 2x) * (-3 + 2x) (-3(-3 + 2x) + 2x * (-3 + 2x)) + 6x = (4x + 1)(x + -2) + -14 ((-3 * -3 + 2x * -3) + 2x * (-3 + 2x)) + 6x = (4x + 1)(x + -2) + -14 ((9 + -6x) + 2x * (-3 + 2x)) + 6x = (4x + 1)(x + -2) + -14 (9 + -6x + (-3 * 2x + 2x * 2x)) + 6x = (4x + 1)(x + -2) + -14 (9 + -6x + (-6x + 4x2)) + 6x = (4x + 1)(x + -2) + -14 Combine like terms: -6x + -6x = -12x (9 + -12x + 4x2) + 6x = (4x + 1)(x + -2) + -14 Reorder the terms: 9 + -12x + 6x + 4x2 = (4x + 1)(x + -2) + -14 Combine like terms: -12x + 6x = -6x 9 + -6x + 4x2 = (4x + 1)(x + -2) + -14 Reorder the terms: 9 + -6x + 4x2 = (1 + 4x)(x + -2) + -14 Reorder the terms: 9 + -6x + 4x2 = (1 + 4x)(-2 + x) + -14 Multiply (1 + 4x) * (-2 + x) 9 + -6x + 4x2 = (1(-2 + x) + 4x * (-2 + x)) + -14 9 + -6x + 4x2 = ((-2 * 1 + x * 1) + 4x * (-2 + x)) + -14 9 + -6x + 4x2 = ((-2 + 1x) + 4x * (-2 + x)) + -14 9 + -6x + 4x2 = (-2 + 1x + (-2 * 4x + x * 4x)) + -14 9 + -6x + 4x2 = (-2 + 1x + (-8x + 4x2)) + -14 Combine like terms: 1x + -8x = -7x 9 + -6x + 4x2 = (-2 + -7x + 4x2) + -14 Reorder the terms: 9 + -6x + 4x2 = -2 + -14 + -7x + 4x2 Combine like terms: -2 + -14 = -16 9 + -6x + 4x2 = -16 + -7x + 4x2 Add '-4x2' to each side of the equation. 9 + -6x + 4x2 + -4x2 = -16 + -7x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 9 + -6x + 0 = -16 + -7x + 4x2 + -4x2 9 + -6x = -16 + -7x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 9 + -6x = -16 + -7x + 0 9 + -6x = -16 + -7x Solving 9 + -6x = -16 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 9 + -6x + 7x = -16 + -7x + 7x Combine like terms: -6x + 7x = 1x 9 + 1x = -16 + -7x + 7x Combine like terms: -7x + 7x = 0 9 + 1x = -16 + 0 9 + 1x = -16 Add '-9' to each side of the equation. 9 + -9 + 1x = -16 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = -16 + -9 1x = -16 + -9 Combine like terms: -16 + -9 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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