8x^2+8x+4=9x^2+6x+1

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Solution for 8x^2+8x+4=9x^2+6x+1 equation: 


Simplifying
8x2 + 8x + 4 = 9x2 + 6x + 1

Reorder the terms:
4 + 8x + 8x2 = 9x2 + 6x + 1

Reorder the terms:
4 + 8x + 8x2 = 1 + 6x + 9x2

Solving
4 + 8x + 8x2 = 1 + 6x + 9x2

Solving for variable 'x'.

Reorder the terms:
4 + -1 + 8x + -6x + 8x2 + -9x2 = 1 + 6x + 9x2 + -1 + -6x + -9x2

Combine like terms: 4 + -1 = 3
3 + 8x + -6x + 8x2 + -9x2 = 1 + 6x + 9x2 + -1 + -6x + -9x2

Combine like terms: 8x + -6x = 2x
3 + 2x + 8x2 + -9x2 = 1 + 6x + 9x2 + -1 + -6x + -9x2

Combine like terms: 8x2 + -9x2 = -1x2
3 + 2x + -1x2 = 1 + 6x + 9x2 + -1 + -6x + -9x2

Reorder the terms:
3 + 2x + -1x2 = 1 + -1 + 6x + -6x + 9x2 + -9x2

Combine like terms: 1 + -1 = 0
3 + 2x + -1x2 = 0 + 6x + -6x + 9x2 + -9x2
3 + 2x + -1x2 = 6x + -6x + 9x2 + -9x2

Combine like terms: 6x + -6x = 0
3 + 2x + -1x2 = 0 + 9x2 + -9x2
3 + 2x + -1x2 = 9x2 + -9x2

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

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


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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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 = {3, -1}

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