(x+4)(3x-5)-3(x+6)(x-1)=0

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Solution for (x+4)(3x-5)-3(x+6)(x-1)=0 equation: 


Simplifying
(x + 4)(3x + -5) + -3(x + 6)(x + -1) = 0

Reorder the terms:
(4 + x)(3x + -5) + -3(x + 6)(x + -1) = 0

Reorder the terms:
(4 + x)(-5 + 3x) + -3(x + 6)(x + -1) = 0

Multiply (4 + x) * (-5 + 3x)
(4(-5 + 3x) + x(-5 + 3x)) + -3(x + 6)(x + -1) = 0
((-5 * 4 + 3x * 4) + x(-5 + 3x)) + -3(x + 6)(x + -1) = 0
((-20 + 12x) + x(-5 + 3x)) + -3(x + 6)(x + -1) = 0
(-20 + 12x + (-5 * x + 3x * x)) + -3(x + 6)(x + -1) = 0
(-20 + 12x + (-5x + 3x2)) + -3(x + 6)(x + -1) = 0

Combine like terms: 12x + -5x = 7x
(-20 + 7x + 3x2) + -3(x + 6)(x + -1) = 0

Reorder the terms:
-20 + 7x + 3x2 + -3(6 + x)(x + -1) = 0

Reorder the terms:
-20 + 7x + 3x2 + -3(6 + x)(-1 + x) = 0

Multiply (6 + x) * (-1 + x)
-20 + 7x + 3x2 + -3(6(-1 + x) + x(-1 + x)) = 0
-20 + 7x + 3x2 + -3((-1 * 6 + x * 6) + x(-1 + x)) = 0
-20 + 7x + 3x2 + -3((-6 + 6x) + x(-1 + x)) = 0
-20 + 7x + 3x2 + -3(-6 + 6x + (-1 * x + x * x)) = 0
-20 + 7x + 3x2 + -3(-6 + 6x + (-1x + x2)) = 0

Combine like terms: 6x + -1x = 5x
-20 + 7x + 3x2 + -3(-6 + 5x + x2) = 0
-20 + 7x + 3x2 + (-6 * -3 + 5x * -3 + x2 * -3) = 0
-20 + 7x + 3x2 + (18 + -15x + -3x2) = 0

Reorder the terms:
-20 + 18 + 7x + -15x + 3x2 + -3x2 = 0

Combine like terms: -20 + 18 = -2
-2 + 7x + -15x + 3x2 + -3x2 = 0

Combine like terms: 7x + -15x = -8x
-2 + -8x + 3x2 + -3x2 = 0

Combine like terms: 3x2 + -3x2 = 0
-2 + -8x + 0 = 0
-2 + -8x = 0

Solving
-2 + -8x = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -8x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = 0 + 2
-8x = 0 + 2

Combine like terms: 0 + 2 = 2
-8x = 2

Divide each side by '-8'.
x = -0.25

Simplifying
x = -0.25

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