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Simplifying 5x(3x + -2)(3x + -2) * 4x(2x + 5)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0 Reorder the terms: 5x(-2 + 3x)(3x + -2) * 4x(2x + 5)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0 Reorder the terms: 5x(-2 + 3x)(-2 + 3x) * 4x(2x + 5)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0 Reorder the terms: 5x(-2 + 3x)(-2 + 3x) * 4x(5 + 2x)(2x + 5) + -1(3x + 4)(3x + 4)(x + -7) = 0 Reorder the terms: 5x(-2 + 3x)(-2 + 3x) * 4x(5 + 2x)(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 Reorder the terms for easier multiplication: 5 * 4x * x(-2 + 3x)(-2 + 3x)(5 + 2x)(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 Multiply 5 * 4 20x * x(-2 + 3x)(-2 + 3x)(5 + 2x)(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 Multiply x * x 20x2(-2 + 3x)(-2 + 3x)(5 + 2x)(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 Multiply (-2 + 3x) * (-2 + 3x) 20x2(-2(-2 + 3x) + 3x * (-2 + 3x))(5 + 2x)(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2((-2 * -2 + 3x * -2) + 3x * (-2 + 3x))(5 + 2x)(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2((4 + -6x) + 3x * (-2 + 3x))(5 + 2x)(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2(4 + -6x + (-2 * 3x + 3x * 3x))(5 + 2x)(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2(4 + -6x + (-6x + 9x2))(5 + 2x)(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 Combine like terms: -6x + -6x = -12x 20x2(4 + -12x + 9x2)(5 + 2x)(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 Multiply (4 + -12x + 9x2) * (5 + 2x) 20x2(4(5 + 2x) + -12x * (5 + 2x) + 9x2 * (5 + 2x))(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2((5 * 4 + 2x * 4) + -12x * (5 + 2x) + 9x2 * (5 + 2x))(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2((20 + 8x) + -12x * (5 + 2x) + 9x2 * (5 + 2x))(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2(20 + 8x + (5 * -12x + 2x * -12x) + 9x2 * (5 + 2x))(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2(20 + 8x + (-60x + -24x2) + 9x2 * (5 + 2x))(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2(20 + 8x + -60x + -24x2 + (5 * 9x2 + 2x * 9x2))(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2(20 + 8x + -60x + -24x2 + (45x2 + 18x3))(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 Combine like terms: 8x + -60x = -52x 20x2(20 + -52x + -24x2 + 45x2 + 18x3)(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 Combine like terms: -24x2 + 45x2 = 21x2 20x2(20 + -52x + 21x2 + 18x3)(5 + 2x) + -1(3x + 4)(3x + 4)(x + -7) = 0 Multiply (20 + -52x + 21x2 + 18x3) * (5 + 2x) 20x2(20(5 + 2x) + -52x * (5 + 2x) + 21x2 * (5 + 2x) + 18x3 * (5 + 2x)) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2((5 * 20 + 2x * 20) + -52x * (5 + 2x) + 21x2 * (5 + 2x) + 18x3 * (5 + 2x)) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2((100 + 40x) + -52x * (5 + 2x) + 21x2 * (5 + 2x) + 18x3 * (5 + 2x)) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2(100 + 40x + (5 * -52x + 2x * -52x) + 21x2 * (5 + 2x) + 18x3 * (5 + 2x)) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2(100 + 40x + (-260x + -104x2) + 21x2 * (5 + 2x) + 18x3 * (5 + 2x)) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2(100 + 40x + -260x + -104x2 + (5 * 21x2 + 2x * 21x2) + 18x3 * (5 + 2x)) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2(100 + 40x + -260x + -104x2 + (105x2 + 42x3) + 18x3 * (5 + 2x)) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2(100 + 40x + -260x + -104x2 + 105x2 + 42x3 + (5 * 18x3 + 2x * 18x3)) + -1(3x + 4)(3x + 4)(x + -7) = 0 20x2(100 + 40x + -260x + -104x2 + 105x2 + 42x3 + (90x3 + 36x4)) + -1(3x + 4)(3x + 4)(x + -7) = 0 Combine like terms: 40x + -260x = -220x 20x2(100 + -220x + -104x2 + 105x2 + 42x3 + 90x3 + 36x4) + -1(3x + 4)(3x + 4)(x + -7) = 0 Combine like terms: -104x2 + 105x2 = 1x2 20x2(100 + -220x + 1x2 + 42x3 + 90x3 + 36x4) + -1(3x + 4)(3x + 4)(x + -7) = 0 Combine like terms: 42x3 + 90x3 = 132x3 20x2(100 + -220x + 1x2 + 132x3 + 36x4) + -1(3x + 4)(3x + 4)(x + -7) = 0 (100 * 20x2 + -220x * 20x2 + 1x2 * 20x2 + 132x3 * 20x2 + 36x4 * 20x2) + -1(3x + 4)(3x + 4)(x + -7) = 0 (2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6) + -1(3x + 4)(3x + 4)(x + -7) = 0 Reorder the terms: 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1(4 + 3x)(3x + 4)(x + -7) = 0 Reorder the terms: 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1(4 + 3x)(4 + 3x)(x + -7) = 0 Reorder the terms: 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1(4 + 3x)(4 + 3x)(-7 + x) = 0 Multiply (4 + 3x) * (4 + 3x) 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1(4(4 + 3x) + 3x * (4 + 3x))(-7 + x) = 0 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1((4 * 4 + 3x * 4) + 3x * (4 + 3x))(-7 + x) = 0 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1((16 + 12x) + 3x * (4 + 3x))(-7 + x) = 0 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1(16 + 12x + (4 * 3x + 3x * 3x))(-7 + x) = 0 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1(16 + 12x + (12x + 9x2))(-7 + x) = 0 Combine like terms: 12x + 12x = 24x 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1(16 + 24x + 9x2)(-7 + x) = 0 Multiply (16 + 24x + 9x2) * (-7 + x) 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1(16(-7 + x) + 24x * (-7 + x) + 9x2 * (-7 + x)) = 0 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1((-7 * 16 + x * 16) + 24x * (-7 + x) + 9x2 * (-7 + x)) = 0 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1((-112 + 16x) + 24x * (-7 + x) + 9x2 * (-7 + x)) = 0 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1(-112 + 16x + (-7 * 24x + x * 24x) + 9x2 * (-7 + x)) = 0 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1(-112 + 16x + (-168x + 24x2) + 9x2 * (-7 + x)) = 0 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1(-112 + 16x + -168x + 24x2 + (-7 * 9x2 + x * 9x2)) = 0 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1(-112 + 16x + -168x + 24x2 + (-63x2 + 9x3)) = 0 Combine like terms: 16x + -168x = -152x 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1(-112 + -152x + 24x2 + -63x2 + 9x3) = 0 Combine like terms: 24x2 + -63x2 = -39x2 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + -1(-112 + -152x + -39x2 + 9x3) = 0 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + (-112 * -1 + -152x * -1 + -39x2 * -1 + 9x3 * -1) = 0 2000x2 + -4400x3 + 20x4 + 2640x5 + 720x6 + (112 + 152x + 39x2 + -9x3) = 0 Reorder the terms: 112 + 152x + 2000x2 + 39x2 + -4400x3 + -9x3 + 20x4 + 2640x5 + 720x6 = 0 Combine like terms: 2000x2 + 39x2 = 2039x2 112 + 152x + 2039x2 + -4400x3 + -9x3 + 20x4 + 2640x5 + 720x6 = 0 Combine like terms: -4400x3 + -9x3 = -4409x3 112 + 152x + 2039x2 + -4409x3 + 20x4 + 2640x5 + 720x6 = 0 Solving 112 + 152x + 2039x2 + -4409x3 + 20x4 + 2640x5 + 720x6 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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