(x+2)(3x-1)-3(x-1)(x+1)+3x=-1

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


Simplifying
(x + 2)(3x + -1) + -3(x + -1)(x + 1) + 3x = -1

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

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

Multiply (2 + x) * (-1 + 3x)
(2(-1 + 3x) + x(-1 + 3x)) + -3(x + -1)(x + 1) + 3x = -1
((-1 * 2 + 3x * 2) + x(-1 + 3x)) + -3(x + -1)(x + 1) + 3x = -1
((-2 + 6x) + x(-1 + 3x)) + -3(x + -1)(x + 1) + 3x = -1
(-2 + 6x + (-1 * x + 3x * x)) + -3(x + -1)(x + 1) + 3x = -1
(-2 + 6x + (-1x + 3x2)) + -3(x + -1)(x + 1) + 3x = -1

Combine like terms: 6x + -1x = 5x
(-2 + 5x + 3x2) + -3(x + -1)(x + 1) + 3x = -1

Reorder the terms:
-2 + 5x + 3x2 + -3(-1 + x)(x + 1) + 3x = -1

Reorder the terms:
-2 + 5x + 3x2 + -3(-1 + x)(1 + x) + 3x = -1

Multiply (-1 + x) * (1 + x)
-2 + 5x + 3x2 + -3(-1(1 + x) + x(1 + x)) + 3x = -1
-2 + 5x + 3x2 + -3((1 * -1 + x * -1) + x(1 + x)) + 3x = -1
-2 + 5x + 3x2 + -3((-1 + -1x) + x(1 + x)) + 3x = -1
-2 + 5x + 3x2 + -3(-1 + -1x + (1 * x + x * x)) + 3x = -1
-2 + 5x + 3x2 + -3(-1 + -1x + (1x + x2)) + 3x = -1

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

Reorder the terms:
-2 + 3 + 5x + 3x + 3x2 + -3x2 = -1

Combine like terms: -2 + 3 = 1
1 + 5x + 3x + 3x2 + -3x2 = -1

Combine like terms: 5x + 3x = 8x
1 + 8x + 3x2 + -3x2 = -1

Combine like terms: 3x2 + -3x2 = 0
1 + 8x + 0 = -1
1 + 8x = -1

Solving
1 + 8x = -1

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 8x = -1 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = -1 + -1
8x = -1 + -1

Combine like terms: -1 + -1 = -2
8x = -2

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

Simplifying
x = -0.25

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