(3x-2)(x+4)-3(x+5)(x-1)=0

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Solution for (3x-2)(x+4)-3(x+5)(x-1)=0 equation: 


Simplifying
(3x + -2)(x + 4) + -3(x + 5)(x + -1) = 0

Reorder the terms:
(-2 + 3x)(x + 4) + -3(x + 5)(x + -1) = 0

Reorder the terms:
(-2 + 3x)(4 + x) + -3(x + 5)(x + -1) = 0

Multiply (-2 + 3x) * (4 + x)
(-2(4 + x) + 3x * (4 + x)) + -3(x + 5)(x + -1) = 0
((4 * -2 + x * -2) + 3x * (4 + x)) + -3(x + 5)(x + -1) = 0
((-8 + -2x) + 3x * (4 + x)) + -3(x + 5)(x + -1) = 0
(-8 + -2x + (4 * 3x + x * 3x)) + -3(x + 5)(x + -1) = 0
(-8 + -2x + (12x + 3x2)) + -3(x + 5)(x + -1) = 0

Combine like terms: -2x + 12x = 10x
(-8 + 10x + 3x2) + -3(x + 5)(x + -1) = 0

Reorder the terms:
-8 + 10x + 3x2 + -3(5 + x)(x + -1) = 0

Reorder the terms:
-8 + 10x + 3x2 + -3(5 + x)(-1 + x) = 0

Multiply (5 + x) * (-1 + x)
-8 + 10x + 3x2 + -3(5(-1 + x) + x(-1 + x)) = 0
-8 + 10x + 3x2 + -3((-1 * 5 + x * 5) + x(-1 + x)) = 0
-8 + 10x + 3x2 + -3((-5 + 5x) + x(-1 + x)) = 0
-8 + 10x + 3x2 + -3(-5 + 5x + (-1 * x + x * x)) = 0
-8 + 10x + 3x2 + -3(-5 + 5x + (-1x + x2)) = 0

Combine like terms: 5x + -1x = 4x
-8 + 10x + 3x2 + -3(-5 + 4x + x2) = 0
-8 + 10x + 3x2 + (-5 * -3 + 4x * -3 + x2 * -3) = 0
-8 + 10x + 3x2 + (15 + -12x + -3x2) = 0

Reorder the terms:
-8 + 15 + 10x + -12x + 3x2 + -3x2 = 0

Combine like terms: -8 + 15 = 7
7 + 10x + -12x + 3x2 + -3x2 = 0

Combine like terms: 10x + -12x = -2x
7 + -2x + 3x2 + -3x2 = 0

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

Solving
7 + -2x = 0

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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