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Simplifying (3x + -4)(7x + 19)(3x + 3) = 63x3 + 150x2 + -141x + -228 Reorder the terms: (-4 + 3x)(7x + 19)(3x + 3) = 63x3 + 150x2 + -141x + -228 Reorder the terms: (-4 + 3x)(19 + 7x)(3x + 3) = 63x3 + 150x2 + -141x + -228 Reorder the terms: (-4 + 3x)(19 + 7x)(3 + 3x) = 63x3 + 150x2 + -141x + -228 Multiply (-4 + 3x) * (19 + 7x) (-4(19 + 7x) + 3x * (19 + 7x))(3 + 3x) = 63x3 + 150x2 + -141x + -228 ((19 * -4 + 7x * -4) + 3x * (19 + 7x))(3 + 3x) = 63x3 + 150x2 + -141x + -228 ((-76 + -28x) + 3x * (19 + 7x))(3 + 3x) = 63x3 + 150x2 + -141x + -228 (-76 + -28x + (19 * 3x + 7x * 3x))(3 + 3x) = 63x3 + 150x2 + -141x + -228 (-76 + -28x + (57x + 21x2))(3 + 3x) = 63x3 + 150x2 + -141x + -228 Combine like terms: -28x + 57x = 29x (-76 + 29x + 21x2)(3 + 3x) = 63x3 + 150x2 + -141x + -228 Multiply (-76 + 29x + 21x2) * (3 + 3x) (-76(3 + 3x) + 29x * (3 + 3x) + 21x2 * (3 + 3x)) = 63x3 + 150x2 + -141x + -228 ((3 * -76 + 3x * -76) + 29x * (3 + 3x) + 21x2 * (3 + 3x)) = 63x3 + 150x2 + -141x + -228 ((-228 + -228x) + 29x * (3 + 3x) + 21x2 * (3 + 3x)) = 63x3 + 150x2 + -141x + -228 (-228 + -228x + (3 * 29x + 3x * 29x) + 21x2 * (3 + 3x)) = 63x3 + 150x2 + -141x + -228 (-228 + -228x + (87x + 87x2) + 21x2 * (3 + 3x)) = 63x3 + 150x2 + -141x + -228 (-228 + -228x + 87x + 87x2 + (3 * 21x2 + 3x * 21x2)) = 63x3 + 150x2 + -141x + -228 (-228 + -228x + 87x + 87x2 + (63x2 + 63x3)) = 63x3 + 150x2 + -141x + -228 Combine like terms: -228x + 87x = -141x (-228 + -141x + 87x2 + 63x2 + 63x3) = 63x3 + 150x2 + -141x + -228 Combine like terms: 87x2 + 63x2 = 150x2 (-228 + -141x + 150x2 + 63x3) = 63x3 + 150x2 + -141x + -228 Reorder the terms: -228 + -141x + 150x2 + 63x3 = -228 + -141x + 150x2 + 63x3 Add '228' to each side of the equation. -228 + -141x + 150x2 + 228 + 63x3 = -228 + -141x + 150x2 + 228 + 63x3 Reorder the terms: -228 + 228 + -141x + 150x2 + 63x3 = -228 + -141x + 150x2 + 228 + 63x3 Combine like terms: -228 + 228 = 0 0 + -141x + 150x2 + 63x3 = -228 + -141x + 150x2 + 228 + 63x3 -141x + 150x2 + 63x3 = -228 + -141x + 150x2 + 228 + 63x3 Reorder the terms: -141x + 150x2 + 63x3 = -228 + 228 + -141x + 150x2 + 63x3 Combine like terms: -228 + 228 = 0 -141x + 150x2 + 63x3 = 0 + -141x + 150x2 + 63x3 -141x + 150x2 + 63x3 = -141x + 150x2 + 63x3 Add '141x' to each side of the equation. -141x + 150x2 + 141x + 63x3 = -141x + 150x2 + 141x + 63x3 Reorder the terms: -141x + 141x + 150x2 + 63x3 = -141x + 150x2 + 141x + 63x3 Combine like terms: -141x + 141x = 0 0 + 150x2 + 63x3 = -141x + 150x2 + 141x + 63x3 150x2 + 63x3 = -141x + 150x2 + 141x + 63x3 Reorder the terms: 150x2 + 63x3 = -141x + 141x + 150x2 + 63x3 Combine like terms: -141x + 141x = 0 150x2 + 63x3 = 0 + 150x2 + 63x3 150x2 + 63x3 = 150x2 + 63x3 Add '-150x2' to each side of the equation. 150x2 + -150x2 + 63x3 = 150x2 + -150x2 + 63x3 Combine like terms: 150x2 + -150x2 = 0 0 + 63x3 = 150x2 + -150x2 + 63x3 63x3 = 150x2 + -150x2 + 63x3 Combine like terms: 150x2 + -150x2 = 0 63x3 = 0 + 63x3 63x3 = 63x3 Add '-63x3' to each side of the equation. 63x3 + -63x3 = 63x3 + -63x3 Combine like terms: 63x3 + -63x3 = 0 0 = 63x3 + -63x3 Combine like terms: 63x3 + -63x3 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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