(X^2+x-30)(8x^2-7x-1)=0

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Solution for (X^2+x-30)(8x^2-7x-1)=0 equation: 


Simplifying
(X2 + x + -30)(8x2 + -7x + -1) = 0

Reorder the terms:
(-30 + X2 + x)(8x2 + -7x + -1) = 0

Reorder the terms:
(-30 + X2 + x)(-1 + -7x + 8x2) = 0

Multiply (-30 + X2 + x) * (-1 + -7x + 8x2)
(-30(-1 + -7x + 8x2) + X2(-1 + -7x + 8x2) + x(-1 + -7x + 8x2)) = 0
((-1 * -30 + -7x * -30 + 8x2 * -30) + X2(-1 + -7x + 8x2) + x(-1 + -7x + 8x2)) = 0
((30 + 210x + -240x2) + X2(-1 + -7x + 8x2) + x(-1 + -7x + 8x2)) = 0
(30 + 210x + -240x2 + (-1 * X2 + -7x * X2 + 8x2 * X2) + x(-1 + -7x + 8x2)) = 0
(30 + 210x + -240x2 + (-1X2 + -7xX2 + 8x2X2) + x(-1 + -7x + 8x2)) = 0
(30 + 210x + -240x2 + -1X2 + -7xX2 + 8x2X2 + (-1 * x + -7x * x + 8x2 * x)) = 0
(30 + 210x + -240x2 + -1X2 + -7xX2 + 8x2X2 + (-1x + -7x2 + 8x3)) = 0

Reorder the terms:
(30 + -1X2 + 210x + -1x + -7xX2 + -240x2 + -7x2 + 8x2X2 + 8x3) = 0

Combine like terms: 210x + -1x = 209x
(30 + -1X2 + 209x + -7xX2 + -240x2 + -7x2 + 8x2X2 + 8x3) = 0

Combine like terms: -240x2 + -7x2 = -247x2
(30 + -1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + 8x3) = 0

Solving
30 + -1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + 8x3 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-30' to each side of the equation.
30 + -1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + -30 + 8x3 = 0 + -30

Reorder the terms:
30 + -30 + -1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + 8x3 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + 8x3 = 0 + -30
-1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + 8x3 = 0 + -30

Combine like terms: 0 + -30 = -30
-1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + 8x3 = -30

Add '-209x' to each side of the equation.
-1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + -209x + 8x3 = -30 + -209x

Reorder the terms:
-1X2 + 209x + -209x + -7xX2 + -247x2 + 8x2X2 + 8x3 = -30 + -209x

Combine like terms: 209x + -209x = 0
-1X2 + 0 + -7xX2 + -247x2 + 8x2X2 + 8x3 = -30 + -209x
-1X2 + -7xX2 + -247x2 + 8x2X2 + 8x3 = -30 + -209x

Add '247x2' to each side of the equation.
-1X2 + -7xX2 + -247x2 + 8x2X2 + 247x2 + 8x3 = -30 + -209x + 247x2

Reorder the terms:
-1X2 + -7xX2 + -247x2 + 247x2 + 8x2X2 + 8x3 = -30 + -209x + 247x2

Combine like terms: -247x2 + 247x2 = 0
-1X2 + -7xX2 + 0 + 8x2X2 + 8x3 = -30 + -209x + 247x2
-1X2 + -7xX2 + 8x2X2 + 8x3 = -30 + -209x + 247x2

Add '-8x3' to each side of the equation.
-1X2 + -7xX2 + 8x2X2 + 8x3 + -8x3 = -30 + -209x + 247x2 + -8x3

Combine like terms: 8x3 + -8x3 = 0
-1X2 + -7xX2 + 8x2X2 + 0 = -30 + -209x + 247x2 + -8x3
-1X2 + -7xX2 + 8x2X2 = -30 + -209x + 247x2 + -8x3

Reorder the terms:
30 + -1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + 8x3 = -30 + -209x + 247x2 + -8x3 + 30 + 209x + -247x2 + 8x3

Reorder the terms:
30 + -1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + 8x3 = -30 + 30 + -209x + 209x + 247x2 + -247x2 + -8x3 + 8x3

Combine like terms: -30 + 30 = 0
30 + -1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + 8x3 = 0 + -209x + 209x + 247x2 + -247x2 + -8x3 + 8x3
30 + -1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + 8x3 = -209x + 209x + 247x2 + -247x2 + -8x3 + 8x3

Combine like terms: -209x + 209x = 0
30 + -1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + 8x3 = 0 + 247x2 + -247x2 + -8x3 + 8x3
30 + -1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + 8x3 = 247x2 + -247x2 + -8x3 + 8x3

Combine like terms: 247x2 + -247x2 = 0
30 + -1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + 8x3 = 0 + -8x3 + 8x3
30 + -1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + 8x3 = -8x3 + 8x3

Combine like terms: -8x3 + 8x3 = 0
30 + -1X2 + 209x + -7xX2 + -247x2 + 8x2X2 + 8x3 = 0

The solution to this equation could not be determined.

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