3x^2+10x+8=(3x+4)

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Solution for 3x^2+10x+8=(3x+4) equation: 


Simplifying
3x2 + 10x + 8 = (3x + 4)

Reorder the terms:
8 + 10x + 3x2 = (3x + 4)

Reorder the terms:
8 + 10x + 3x2 = (4 + 3x)

Remove parenthesis around (4 + 3x)
8 + 10x + 3x2 = 4 + 3x

Solving
8 + 10x + 3x2 = 4 + 3x

Solving for variable 'x'.

Reorder the terms:
8 + -4 + 10x + -3x + 3x2 = 4 + 3x + -4 + -3x

Combine like terms: 8 + -4 = 4
4 + 10x + -3x + 3x2 = 4 + 3x + -4 + -3x

Combine like terms: 10x + -3x = 7x
4 + 7x + 3x2 = 4 + 3x + -4 + -3x

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

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

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

Factor a trinomial.
(4 + 3x)(1 + x) = 0


Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

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

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

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 2
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
Solution
x = {-1.333333333, -1}

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