2-10=(3x-7)(x+1)

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Solution for 2-10=(3x-7)(x+1) equation: 


Simplifying
2 + -10 = (3x + -7)(x + 1)

Combine like terms: 2 + -10 = -8
-8 = (3x + -7)(x + 1)

Reorder the terms:
-8 = (-7 + 3x)(x + 1)

Reorder the terms:
-8 = (-7 + 3x)(1 + x)

Multiply (-7 + 3x) * (1 + x)
-8 = (-7(1 + x) + 3x * (1 + x))
-8 = ((1 * -7 + x * -7) + 3x * (1 + x))
-8 = ((-7 + -7x) + 3x * (1 + x))
-8 = (-7 + -7x + (1 * 3x + x * 3x))
-8 = (-7 + -7x + (3x + 3x2))

Combine like terms: -7x + 3x = -4x
-8 = (-7 + -4x + 3x2)

Solving
-8 = -7 + -4x + 3x2

Solving for variable 'x'.

Combine like terms: -8 + 7 = -1
-1 + 4x + -3x2 = -7 + -4x + 3x2 + 7 + 4x + -3x2

Reorder the terms:
-1 + 4x + -3x2 = -7 + 7 + -4x + 4x + 3x2 + -3x2

Combine like terms: -7 + 7 = 0
-1 + 4x + -3x2 = 0 + -4x + 4x + 3x2 + -3x2
-1 + 4x + -3x2 = -4x + 4x + 3x2 + -3x2

Combine like terms: -4x + 4x = 0
-1 + 4x + -3x2 = 0 + 3x2 + -3x2
-1 + 4x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1 + 4x + -3x2 = 0

Factor a trinomial.
(-1 + x)(1 + -3x) = 0


Subproblem 1
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

Add '1' to each side of the equation.
-1 + 1 + x = 0 + 1

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {1, 0.3333333333}

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