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Simplifying (4x + -7)(2x + 3) + -8x(x + -5)(9x + 4) = 0 Reorder the terms: (-7 + 4x)(2x + 3) + -8x(x + -5)(9x + 4) = 0 Reorder the terms: (-7 + 4x)(3 + 2x) + -8x(x + -5)(9x + 4) = 0 Multiply (-7 + 4x) * (3 + 2x) (-7(3 + 2x) + 4x * (3 + 2x)) + -8x(x + -5)(9x + 4) = 0 ((3 * -7 + 2x * -7) + 4x * (3 + 2x)) + -8x(x + -5)(9x + 4) = 0 ((-21 + -14x) + 4x * (3 + 2x)) + -8x(x + -5)(9x + 4) = 0 (-21 + -14x + (3 * 4x + 2x * 4x)) + -8x(x + -5)(9x + 4) = 0 (-21 + -14x + (12x + 8x2)) + -8x(x + -5)(9x + 4) = 0 Combine like terms: -14x + 12x = -2x (-21 + -2x + 8x2) + -8x(x + -5)(9x + 4) = 0 Reorder the terms: -21 + -2x + 8x2 + -8x(-5 + x)(9x + 4) = 0 Reorder the terms: -21 + -2x + 8x2 + -8x(-5 + x)(4 + 9x) = 0 Multiply (-5 + x) * (4 + 9x) -21 + -2x + 8x2 + -8x(-5(4 + 9x) + x(4 + 9x)) = 0 -21 + -2x + 8x2 + -8x((4 * -5 + 9x * -5) + x(4 + 9x)) = 0 -21 + -2x + 8x2 + -8x((-20 + -45x) + x(4 + 9x)) = 0 -21 + -2x + 8x2 + -8x(-20 + -45x + (4 * x + 9x * x)) = 0 -21 + -2x + 8x2 + -8x(-20 + -45x + (4x + 9x2)) = 0 Combine like terms: -45x + 4x = -41x -21 + -2x + 8x2 + -8x(-20 + -41x + 9x2) = 0 -21 + -2x + 8x2 + (-20 * -8x + -41x * -8x + 9x2 * -8x) = 0 -21 + -2x + 8x2 + (160x + 328x2 + -72x3) = 0 Reorder the terms: -21 + -2x + 160x + 8x2 + 328x2 + -72x3 = 0 Combine like terms: -2x + 160x = 158x -21 + 158x + 8x2 + 328x2 + -72x3 = 0 Combine like terms: 8x2 + 328x2 = 336x2 -21 + 158x + 336x2 + -72x3 = 0 Solving -21 + 158x + 336x2 + -72x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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