180=(3x-18)(x-9)(x+7)

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Solution for 180=(3x-18)(x-9)(x+7) equation:


Simplifying
180 = (3x + -18)(x + -9)(x + 7)

Reorder the terms:
180 = (-18 + 3x)(x + -9)(x + 7)

Reorder the terms:
180 = (-18 + 3x)(-9 + x)(x + 7)

Reorder the terms:
180 = (-18 + 3x)(-9 + x)(7 + x)

Multiply (-18 + 3x) * (-9 + x)
180 = (-18(-9 + x) + 3x * (-9 + x))(7 + x)
180 = ((-9 * -18 + x * -18) + 3x * (-9 + x))(7 + x)
180 = ((162 + -18x) + 3x * (-9 + x))(7 + x)
180 = (162 + -18x + (-9 * 3x + x * 3x))(7 + x)
180 = (162 + -18x + (-27x + 3x2))(7 + x)

Combine like terms: -18x + -27x = -45x
180 = (162 + -45x + 3x2)(7 + x)

Multiply (162 + -45x + 3x2) * (7 + x)
180 = (162(7 + x) + -45x * (7 + x) + 3x2 * (7 + x))
180 = ((7 * 162 + x * 162) + -45x * (7 + x) + 3x2 * (7 + x))
180 = ((1134 + 162x) + -45x * (7 + x) + 3x2 * (7 + x))
180 = (1134 + 162x + (7 * -45x + x * -45x) + 3x2 * (7 + x))
180 = (1134 + 162x + (-315x + -45x2) + 3x2 * (7 + x))
180 = (1134 + 162x + -315x + -45x2 + (7 * 3x2 + x * 3x2))
180 = (1134 + 162x + -315x + -45x2 + (21x2 + 3x3))

Combine like terms: 162x + -315x = -153x
180 = (1134 + -153x + -45x2 + 21x2 + 3x3)

Combine like terms: -45x2 + 21x2 = -24x2
180 = (1134 + -153x + -24x2 + 3x3)

Solving
180 = 1134 + -153x + -24x2 + 3x3

Solving for variable 'x'.

Combine like terms: 180 + -1134 = -954
-954 + 153x + 24x2 + -3x3 = 1134 + -153x + -24x2 + 3x3 + -1134 + 153x + 24x2 + -3x3

Reorder the terms:
-954 + 153x + 24x2 + -3x3 = 1134 + -1134 + -153x + 153x + -24x2 + 24x2 + 3x3 + -3x3

Combine like terms: 1134 + -1134 = 0
-954 + 153x + 24x2 + -3x3 = 0 + -153x + 153x + -24x2 + 24x2 + 3x3 + -3x3
-954 + 153x + 24x2 + -3x3 = -153x + 153x + -24x2 + 24x2 + 3x3 + -3x3

Combine like terms: -153x + 153x = 0
-954 + 153x + 24x2 + -3x3 = 0 + -24x2 + 24x2 + 3x3 + -3x3
-954 + 153x + 24x2 + -3x3 = -24x2 + 24x2 + 3x3 + -3x3

Combine like terms: -24x2 + 24x2 = 0
-954 + 153x + 24x2 + -3x3 = 0 + 3x3 + -3x3
-954 + 153x + 24x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-954 + 153x + 24x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-318 + 51x + 8x2 + -1x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-318 + 51x + 8x2 + -1x3)' equal to zero and attempt to solve: Simplifying -318 + 51x + 8x2 + -1x3 = 0 Solving -318 + 51x + 8x2 + -1x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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