(6x+5-2)x=4+4x+1

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Solution for (6x+5-2)x=4+4x+1 equation: 


Simplifying
(6x + 5 + -2) * x = 4 + 4x + 1

Reorder the terms:
(5 + -2 + 6x) * x = 4 + 4x + 1

Combine like terms: 5 + -2 = 3
(3 + 6x) * x = 4 + 4x + 1

Reorder the terms for easier multiplication:
x(3 + 6x) = 4 + 4x + 1
(3 * x + 6x * x) = 4 + 4x + 1
(3x + 6x2) = 4 + 4x + 1

Reorder the terms:
3x + 6x2 = 4 + 1 + 4x

Combine like terms: 4 + 1 = 5
3x + 6x2 = 5 + 4x

Solving
3x + 6x2 = 5 + 4x

Solving for variable 'x'.

Reorder the terms:
-5 + 3x + -4x + 6x2 = 5 + 4x + -5 + -4x

Combine like terms: 3x + -4x = -1x
-5 + -1x + 6x2 = 5 + 4x + -5 + -4x

Reorder the terms:
-5 + -1x + 6x2 = 5 + -5 + 4x + -4x

Combine like terms: 5 + -5 = 0
-5 + -1x + 6x2 = 0 + 4x + -4x
-5 + -1x + 6x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -1x + 6x2 = 0

Factor a trinomial.
(-5 + -6x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve:

Simplifying
-5 + -6x = 0

Solving
-5 + -6x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = 0 + 5
-6x = 0 + 5

Combine like terms: 0 + 5 = 5
-6x = 5

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {-0.8333333333, 1}

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