(x^2+3x-18)(5x-40)=0

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Solution for (x^2+3x-18)(5x-40)=0 equation: 


Simplifying
(x2 + 3x + -18)(5x + -40) = 0

Reorder the terms:
(-18 + 3x + x2)(5x + -40) = 0

Reorder the terms:
(-18 + 3x + x2)(-40 + 5x) = 0

Multiply (-18 + 3x + x2) * (-40 + 5x)
(-18(-40 + 5x) + 3x * (-40 + 5x) + x2(-40 + 5x)) = 0
((-40 * -18 + 5x * -18) + 3x * (-40 + 5x) + x2(-40 + 5x)) = 0
((720 + -90x) + 3x * (-40 + 5x) + x2(-40 + 5x)) = 0
(720 + -90x + (-40 * 3x + 5x * 3x) + x2(-40 + 5x)) = 0
(720 + -90x + (-120x + 15x2) + x2(-40 + 5x)) = 0
(720 + -90x + -120x + 15x2 + (-40 * x2 + 5x * x2)) = 0
(720 + -90x + -120x + 15x2 + (-40x2 + 5x3)) = 0

Combine like terms: -90x + -120x = -210x
(720 + -210x + 15x2 + -40x2 + 5x3) = 0

Combine like terms: 15x2 + -40x2 = -25x2
(720 + -210x + -25x2 + 5x3) = 0

Solving
720 + -210x + -25x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(144 + -42x + -5x2 + x3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(144 + -42x + -5x2 + x3)' equal to zero and attempt to solve:

Simplifying
144 + -42x + -5x2 + x3 = 0

Solving
144 + -42x + -5x2 + x3 = 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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