130+75(x-35)(x+30)(x+5)=180

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Solution for 130+75(x-35)(x+30)(x+5)=180 equation: 


Simplifying
130 + 75(x + -35)(x + 30)(x + 5) = 180

Reorder the terms:
130 + 75(-35 + x)(x + 30)(x + 5) = 180

Reorder the terms:
130 + 75(-35 + x)(30 + x)(x + 5) = 180

Reorder the terms:
130 + 75(-35 + x)(30 + x)(5 + x) = 180

Multiply (-35 + x) * (30 + x)
130 + 75(-35(30 + x) + x(30 + x))(5 + x) = 180
130 + 75((30 * -35 + x * -35) + x(30 + x))(5 + x) = 180
130 + 75((-1050 + -35x) + x(30 + x))(5 + x) = 180
130 + 75(-1050 + -35x + (30 * x + x * x))(5 + x) = 180
130 + 75(-1050 + -35x + (30x + x2))(5 + x) = 180

Combine like terms: -35x + 30x = -5x
130 + 75(-1050 + -5x + x2)(5 + x) = 180

Multiply (-1050 + -5x + x2) * (5 + x)
130 + 75(-1050(5 + x) + -5x * (5 + x) + x2(5 + x)) = 180
130 + 75((5 * -1050 + x * -1050) + -5x * (5 + x) + x2(5 + x)) = 180
130 + 75((-5250 + -1050x) + -5x * (5 + x) + x2(5 + x)) = 180
130 + 75(-5250 + -1050x + (5 * -5x + x * -5x) + x2(5 + x)) = 180
130 + 75(-5250 + -1050x + (-25x + -5x2) + x2(5 + x)) = 180
130 + 75(-5250 + -1050x + -25x + -5x2 + (5 * x2 + x * x2)) = 180
130 + 75(-5250 + -1050x + -25x + -5x2 + (5x2 + x3)) = 180

Combine like terms: -1050x + -25x = -1075x
130 + 75(-5250 + -1075x + -5x2 + 5x2 + x3) = 180

Combine like terms: -5x2 + 5x2 = 0
130 + 75(-5250 + -1075x + 0 + x3) = 180
130 + 75(-5250 + -1075x + x3) = 180
130 + (-5250 * 75 + -1075x * 75 + x3 * 75) = 180
130 + (-393750 + -80625x + 75x3) = 180

Combine like terms: 130 + -393750 = -393620
-393620 + -80625x + 75x3 = 180

Solving
-393620 + -80625x + 75x3 = 180

Solving for variable 'x'.

Reorder the terms:
-393620 + -180 + -80625x + 75x3 = 180 + -180

Combine like terms: -393620 + -180 = -393800
-393800 + -80625x + 75x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-393800 + -80625x + 75x3 = 0

Factor out the Greatest Common Factor (GCF), '25'.
25(-15752 + -3225x + 3x3) = 0

Ignore the factor 25.

Subproblem 1
Set the factor '(-15752 + -3225x + 3x3)' equal to zero and attempt to solve:

Simplifying
-15752 + -3225x + 3x3 = 0

Solving
-15752 + -3225x + 3x3 = 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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