130+75(x-5)(x-35)(x+30)=540

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Solution for 130+75(x-5)(x-35)(x+30)=540 equation: 


Simplifying
130 + 75(x + -5)(x + -35)(x + 30) = 540

Reorder the terms:
130 + 75(-5 + x)(x + -35)(x + 30) = 540

Reorder the terms:
130 + 75(-5 + x)(-35 + x)(x + 30) = 540

Reorder the terms:
130 + 75(-5 + x)(-35 + x)(30 + x) = 540

Multiply (-5 + x) * (-35 + x)
130 + 75(-5(-35 + x) + x(-35 + x))(30 + x) = 540
130 + 75((-35 * -5 + x * -5) + x(-35 + x))(30 + x) = 540
130 + 75((175 + -5x) + x(-35 + x))(30 + x) = 540
130 + 75(175 + -5x + (-35 * x + x * x))(30 + x) = 540
130 + 75(175 + -5x + (-35x + x2))(30 + x) = 540

Combine like terms: -5x + -35x = -40x
130 + 75(175 + -40x + x2)(30 + x) = 540

Multiply (175 + -40x + x2) * (30 + x)
130 + 75(175(30 + x) + -40x * (30 + x) + x2(30 + x)) = 540
130 + 75((30 * 175 + x * 175) + -40x * (30 + x) + x2(30 + x)) = 540
130 + 75((5250 + 175x) + -40x * (30 + x) + x2(30 + x)) = 540
130 + 75(5250 + 175x + (30 * -40x + x * -40x) + x2(30 + x)) = 540
130 + 75(5250 + 175x + (-1200x + -40x2) + x2(30 + x)) = 540
130 + 75(5250 + 175x + -1200x + -40x2 + (30 * x2 + x * x2)) = 540
130 + 75(5250 + 175x + -1200x + -40x2 + (30x2 + x3)) = 540

Combine like terms: 175x + -1200x = -1025x
130 + 75(5250 + -1025x + -40x2 + 30x2 + x3) = 540

Combine like terms: -40x2 + 30x2 = -10x2
130 + 75(5250 + -1025x + -10x2 + x3) = 540
130 + (5250 * 75 + -1025x * 75 + -10x2 * 75 + x3 * 75) = 540
130 + (393750 + -76875x + -750x2 + 75x3) = 540

Combine like terms: 130 + 393750 = 393880
393880 + -76875x + -750x2 + 75x3 = 540

Solving
393880 + -76875x + -750x2 + 75x3 = 540

Solving for variable 'x'.

Reorder the terms:
393880 + -540 + -76875x + -750x2 + 75x3 = 540 + -540

Combine like terms: 393880 + -540 = 393340
393340 + -76875x + -750x2 + 75x3 = 540 + -540

Combine like terms: 540 + -540 = 0
393340 + -76875x + -750x2 + 75x3 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(78668 + -15375x + -150x2 + 15x3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(78668 + -15375x + -150x2 + 15x3)' equal to zero and attempt to solve:

Simplifying
78668 + -15375x + -150x2 + 15x3 = 0

Solving
78668 + -15375x + -150x2 + 15x3 = 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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