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

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


Simplifying
(4x + 2)(6x + -1x + 2) = 0

Reorder the terms:
(2 + 4x)(6x + -1x + 2) = 0

Reorder the terms:
(2 + 4x)(2 + 6x + -1x) = 0

Combine like terms: 6x + -1x = 5x
(2 + 4x)(2 + 5x) = 0

Multiply (2 + 4x) * (2 + 5x)
(2(2 + 5x) + 4x * (2 + 5x)) = 0
((2 * 2 + 5x * 2) + 4x * (2 + 5x)) = 0
((4 + 10x) + 4x * (2 + 5x)) = 0
(4 + 10x + (2 * 4x + 5x * 4x)) = 0
(4 + 10x + (8x + 20x2)) = 0

Combine like terms: 10x + 8x = 18x
(4 + 18x + 20x2) = 0

Solving
4 + 18x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 9x + 10x2) = 0

Factor a trinomial.
2((1 + 2x)(2 + 5x)) = 0

Ignore the factor 2.

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

Solving
2 + 5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-0.5, -0.4}

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