4x^2+8x+4=3x^2-2x-5

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Solution for 4x^2+8x+4=3x^2-2x-5 equation: 


Simplifying
4x2 + 8x + 4 = 3x2 + -2x + -5

Reorder the terms:
4 + 8x + 4x2 = 3x2 + -2x + -5

Reorder the terms:
4 + 8x + 4x2 = -5 + -2x + 3x2

Solving
4 + 8x + 4x2 = -5 + -2x + 3x2

Solving for variable 'x'.

Reorder the terms:
4 + 5 + 8x + 2x + 4x2 + -3x2 = -5 + -2x + 3x2 + 5 + 2x + -3x2

Combine like terms: 4 + 5 = 9
9 + 8x + 2x + 4x2 + -3x2 = -5 + -2x + 3x2 + 5 + 2x + -3x2

Combine like terms: 8x + 2x = 10x
9 + 10x + 4x2 + -3x2 = -5 + -2x + 3x2 + 5 + 2x + -3x2

Combine like terms: 4x2 + -3x2 = 1x2
9 + 10x + 1x2 = -5 + -2x + 3x2 + 5 + 2x + -3x2

Reorder the terms:
9 + 10x + 1x2 = -5 + 5 + -2x + 2x + 3x2 + -3x2

Combine like terms: -5 + 5 = 0
9 + 10x + 1x2 = 0 + -2x + 2x + 3x2 + -3x2
9 + 10x + 1x2 = -2x + 2x + 3x2 + -3x2

Combine like terms: -2x + 2x = 0
9 + 10x + 1x2 = 0 + 3x2 + -3x2
9 + 10x + 1x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
9 + 10x + 1x2 = 0

Factor a trinomial.
(9 + x)(1 + x) = 0


Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9

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 = {-9, -1}

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