(x-4)(x^2+3)-(x-4)(6x-2)=0

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Solution for (x-4)(x^2+3)-(x-4)(6x-2)=0 equation: 


Simplifying
(x + -4)(x2 + 3) + -1(x + -4)(6x + -2) = 0

Reorder the terms:
(-4 + x)(x2 + 3) + -1(x + -4)(6x + -2) = 0

Reorder the terms:
(-4 + x)(3 + x2) + -1(x + -4)(6x + -2) = 0

Multiply (-4 + x) * (3 + x2)
(-4(3 + x2) + x(3 + x2)) + -1(x + -4)(6x + -2) = 0
((3 * -4 + x2 * -4) + x(3 + x2)) + -1(x + -4)(6x + -2) = 0
((-12 + -4x2) + x(3 + x2)) + -1(x + -4)(6x + -2) = 0
(-12 + -4x2 + (3 * x + x2 * x)) + -1(x + -4)(6x + -2) = 0
(-12 + -4x2 + (3x + x3)) + -1(x + -4)(6x + -2) = 0

Reorder the terms:
(-12 + 3x + -4x2 + x3) + -1(x + -4)(6x + -2) = 0
(-12 + 3x + -4x2 + x3) + -1(x + -4)(6x + -2) = 0

Reorder the terms:
-12 + 3x + -4x2 + x3 + -1(-4 + x)(6x + -2) = 0

Reorder the terms:
-12 + 3x + -4x2 + x3 + -1(-4 + x)(-2 + 6x) = 0

Multiply (-4 + x) * (-2 + 6x)
-12 + 3x + -4x2 + x3 + -1(-4(-2 + 6x) + x(-2 + 6x)) = 0
-12 + 3x + -4x2 + x3 + -1((-2 * -4 + 6x * -4) + x(-2 + 6x)) = 0
-12 + 3x + -4x2 + x3 + -1((8 + -24x) + x(-2 + 6x)) = 0
-12 + 3x + -4x2 + x3 + -1(8 + -24x + (-2 * x + 6x * x)) = 0
-12 + 3x + -4x2 + x3 + -1(8 + -24x + (-2x + 6x2)) = 0

Combine like terms: -24x + -2x = -26x
-12 + 3x + -4x2 + x3 + -1(8 + -26x + 6x2) = 0
-12 + 3x + -4x2 + x3 + (8 * -1 + -26x * -1 + 6x2 * -1) = 0
-12 + 3x + -4x2 + x3 + (-8 + 26x + -6x2) = 0

Reorder the terms:
-12 + -8 + 3x + 26x + -4x2 + -6x2 + x3 = 0

Combine like terms: -12 + -8 = -20
-20 + 3x + 26x + -4x2 + -6x2 + x3 = 0

Combine like terms: 3x + 26x = 29x
-20 + 29x + -4x2 + -6x2 + x3 = 0

Combine like terms: -4x2 + -6x2 = -10x2
-20 + 29x + -10x2 + x3 = 0

Solving
-20 + 29x + -10x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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