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Simplifying 25 = (3x + -2)(2x + 5)(3x + -2) * 2 Reorder the terms: 25 = (-2 + 3x)(2x + 5)(3x + -2) * 2 Reorder the terms: 25 = (-2 + 3x)(5 + 2x)(3x + -2) * 2 Reorder the terms: 25 = (-2 + 3x)(5 + 2x)(-2 + 3x) * 2 Reorder the terms for easier multiplication: 25 = 2(-2 + 3x)(5 + 2x)(-2 + 3x) Multiply (-2 + 3x) * (5 + 2x) 25 = 2(-2(5 + 2x) + 3x * (5 + 2x))(-2 + 3x) 25 = 2((5 * -2 + 2x * -2) + 3x * (5 + 2x))(-2 + 3x) 25 = 2((-10 + -4x) + 3x * (5 + 2x))(-2 + 3x) 25 = 2(-10 + -4x + (5 * 3x + 2x * 3x))(-2 + 3x) 25 = 2(-10 + -4x + (15x + 6x2))(-2 + 3x) Combine like terms: -4x + 15x = 11x 25 = 2(-10 + 11x + 6x2)(-2 + 3x) Multiply (-10 + 11x + 6x2) * (-2 + 3x) 25 = 2(-10(-2 + 3x) + 11x * (-2 + 3x) + 6x2 * (-2 + 3x)) 25 = 2((-2 * -10 + 3x * -10) + 11x * (-2 + 3x) + 6x2 * (-2 + 3x)) 25 = 2((20 + -30x) + 11x * (-2 + 3x) + 6x2 * (-2 + 3x)) 25 = 2(20 + -30x + (-2 * 11x + 3x * 11x) + 6x2 * (-2 + 3x)) 25 = 2(20 + -30x + (-22x + 33x2) + 6x2 * (-2 + 3x)) 25 = 2(20 + -30x + -22x + 33x2 + (-2 * 6x2 + 3x * 6x2)) 25 = 2(20 + -30x + -22x + 33x2 + (-12x2 + 18x3)) Combine like terms: -30x + -22x = -52x 25 = 2(20 + -52x + 33x2 + -12x2 + 18x3) Combine like terms: 33x2 + -12x2 = 21x2 25 = 2(20 + -52x + 21x2 + 18x3) 25 = (20 * 2 + -52x * 2 + 21x2 * 2 + 18x3 * 2) 25 = (40 + -104x + 42x2 + 36x3) Solving 25 = 40 + -104x + 42x2 + 36x3 Solving for variable 'x'. Combine like terms: 25 + -40 = -15 -15 + 104x + -42x2 + -36x3 = 40 + -104x + 42x2 + 36x3 + -40 + 104x + -42x2 + -36x3 Reorder the terms: -15 + 104x + -42x2 + -36x3 = 40 + -40 + -104x + 104x + 42x2 + -42x2 + 36x3 + -36x3 Combine like terms: 40 + -40 = 0 -15 + 104x + -42x2 + -36x3 = 0 + -104x + 104x + 42x2 + -42x2 + 36x3 + -36x3 -15 + 104x + -42x2 + -36x3 = -104x + 104x + 42x2 + -42x2 + 36x3 + -36x3 Combine like terms: -104x + 104x = 0 -15 + 104x + -42x2 + -36x3 = 0 + 42x2 + -42x2 + 36x3 + -36x3 -15 + 104x + -42x2 + -36x3 = 42x2 + -42x2 + 36x3 + -36x3 Combine like terms: 42x2 + -42x2 = 0 -15 + 104x + -42x2 + -36x3 = 0 + 36x3 + -36x3 -15 + 104x + -42x2 + -36x3 = 36x3 + -36x3 Combine like terms: 36x3 + -36x3 = 0 -15 + 104x + -42x2 + -36x3 = 0 The solution to this equation could not be determined.
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