(5x+2)(6x-10)(x+20)=180

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Solution for (5x+2)(6x-10)(x+20)=180 equation: 


Simplifying
(5x + 2)(6x + -10)(x + 20) = 180

Reorder the terms:
(2 + 5x)(6x + -10)(x + 20) = 180

Reorder the terms:
(2 + 5x)(-10 + 6x)(x + 20) = 180

Reorder the terms:
(2 + 5x)(-10 + 6x)(20 + x) = 180

Multiply (2 + 5x) * (-10 + 6x)
(2(-10 + 6x) + 5x * (-10 + 6x))(20 + x) = 180
((-10 * 2 + 6x * 2) + 5x * (-10 + 6x))(20 + x) = 180
((-20 + 12x) + 5x * (-10 + 6x))(20 + x) = 180
(-20 + 12x + (-10 * 5x + 6x * 5x))(20 + x) = 180
(-20 + 12x + (-50x + 30x2))(20 + x) = 180

Combine like terms: 12x + -50x = -38x
(-20 + -38x + 30x2)(20 + x) = 180

Multiply (-20 + -38x + 30x2) * (20 + x)
(-20(20 + x) + -38x * (20 + x) + 30x2 * (20 + x)) = 180
((20 * -20 + x * -20) + -38x * (20 + x) + 30x2 * (20 + x)) = 180
((-400 + -20x) + -38x * (20 + x) + 30x2 * (20 + x)) = 180
(-400 + -20x + (20 * -38x + x * -38x) + 30x2 * (20 + x)) = 180
(-400 + -20x + (-760x + -38x2) + 30x2 * (20 + x)) = 180
(-400 + -20x + -760x + -38x2 + (20 * 30x2 + x * 30x2)) = 180
(-400 + -20x + -760x + -38x2 + (600x2 + 30x3)) = 180

Combine like terms: -20x + -760x = -780x
(-400 + -780x + -38x2 + 600x2 + 30x3) = 180

Combine like terms: -38x2 + 600x2 = 562x2
(-400 + -780x + 562x2 + 30x3) = 180

Solving
-400 + -780x + 562x2 + 30x3 = 180

Solving for variable 'x'.

Reorder the terms:
-400 + -180 + -780x + 562x2 + 30x3 = 180 + -180

Combine like terms: -400 + -180 = -580
-580 + -780x + 562x2 + 30x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-580 + -780x + 562x2 + 30x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-290 + -390x + 281x2 + 15x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-290 + -390x + 281x2 + 15x3)' equal to zero and attempt to solve:

Simplifying
-290 + -390x + 281x2 + 15x3 = 0

Solving
-290 + -390x + 281x2 + 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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