480=(x+11)(x+12)(x-2)

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Solution for 480=(x+11)(x+12)(x-2) equation:


Simplifying
480 = (x + 11)(x + 12)(x + -2)

Reorder the terms:
480 = (11 + x)(x + 12)(x + -2)

Reorder the terms:
480 = (11 + x)(12 + x)(x + -2)

Reorder the terms:
480 = (11 + x)(12 + x)(-2 + x)

Multiply (11 + x) * (12 + x)
480 = (11(12 + x) + x(12 + x))(-2 + x)
480 = ((12 * 11 + x * 11) + x(12 + x))(-2 + x)
480 = ((132 + 11x) + x(12 + x))(-2 + x)
480 = (132 + 11x + (12 * x + x * x))(-2 + x)
480 = (132 + 11x + (12x + x2))(-2 + x)

Combine like terms: 11x + 12x = 23x
480 = (132 + 23x + x2)(-2 + x)

Multiply (132 + 23x + x2) * (-2 + x)
480 = (132(-2 + x) + 23x * (-2 + x) + x2(-2 + x))
480 = ((-2 * 132 + x * 132) + 23x * (-2 + x) + x2(-2 + x))
480 = ((-264 + 132x) + 23x * (-2 + x) + x2(-2 + x))
480 = (-264 + 132x + (-2 * 23x + x * 23x) + x2(-2 + x))
480 = (-264 + 132x + (-46x + 23x2) + x2(-2 + x))
480 = (-264 + 132x + -46x + 23x2 + (-2 * x2 + x * x2))
480 = (-264 + 132x + -46x + 23x2 + (-2x2 + x3))

Combine like terms: 132x + -46x = 86x
480 = (-264 + 86x + 23x2 + -2x2 + x3)

Combine like terms: 23x2 + -2x2 = 21x2
480 = (-264 + 86x + 21x2 + x3)

Solving
480 = -264 + 86x + 21x2 + x3

Solving for variable 'x'.

Combine like terms: 480 + 264 = 744
744 + -86x + -21x2 + -1x3 = -264 + 86x + 21x2 + x3 + 264 + -86x + -21x2 + -1x3

Reorder the terms:
744 + -86x + -21x2 + -1x3 = -264 + 264 + 86x + -86x + 21x2 + -21x2 + x3 + -1x3

Combine like terms: -264 + 264 = 0
744 + -86x + -21x2 + -1x3 = 0 + 86x + -86x + 21x2 + -21x2 + x3 + -1x3
744 + -86x + -21x2 + -1x3 = 86x + -86x + 21x2 + -21x2 + x3 + -1x3

Combine like terms: 86x + -86x = 0
744 + -86x + -21x2 + -1x3 = 0 + 21x2 + -21x2 + x3 + -1x3
744 + -86x + -21x2 + -1x3 = 21x2 + -21x2 + x3 + -1x3

Combine like terms: 21x2 + -21x2 = 0
744 + -86x + -21x2 + -1x3 = 0 + x3 + -1x3
744 + -86x + -21x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
744 + -86x + -21x2 + -1x3 = 0

The solution to this equation could not be determined.

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