2x(4x+3)=-4x-3

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Solution for 2x(4x+3)=-4x-3 equation: 


Simplifying
2x(4x + 3) = -4x + -3

Reorder the terms:
2x(3 + 4x) = -4x + -3
(3 * 2x + 4x * 2x) = -4x + -3
(6x + 8x2) = -4x + -3

Reorder the terms:
6x + 8x2 = -3 + -4x

Solving
6x + 8x2 = -3 + -4x

Solving for variable 'x'.

Reorder the terms:
3 + 6x + 4x + 8x2 = -3 + -4x + 3 + 4x

Combine like terms: 6x + 4x = 10x
3 + 10x + 8x2 = -3 + -4x + 3 + 4x

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

Combine like terms: -3 + 3 = 0
3 + 10x + 8x2 = 0 + -4x + 4x
3 + 10x + 8x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
3 + 10x + 8x2 = 0

Factor a trinomial.
(3 + 4x)(1 + 2x) = 0


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

Simplifying
3 + 4x = 0

Solving
3 + 4x = 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 + 4x = 0 + -3

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

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

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75

Subproblem 2
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
Solution
x = {-0.75, -0.5}

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