8x(x+3)=2x-5

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Solution for 8x(x+3)=2x-5 equation: 


Simplifying
8x(x + 3) = 2x + -5

Reorder the terms:
8x(3 + x) = 2x + -5
(3 * 8x + x * 8x) = 2x + -5
(24x + 8x2) = 2x + -5

Reorder the terms:
24x + 8x2 = -5 + 2x

Solving
24x + 8x2 = -5 + 2x

Solving for variable 'x'.

Reorder the terms:
5 + 24x + -2x + 8x2 = -5 + 2x + 5 + -2x

Combine like terms: 24x + -2x = 22x
5 + 22x + 8x2 = -5 + 2x + 5 + -2x

Reorder the terms:
5 + 22x + 8x2 = -5 + 5 + 2x + -2x

Combine like terms: -5 + 5 = 0
5 + 22x + 8x2 = 0 + 2x + -2x
5 + 22x + 8x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 22x + 8x2 = 0

Factor a trinomial.
(5 + 2x)(1 + 4x) = 0


Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 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 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Solution
x = {-2.5, -0.25}

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