3x(2x+5)=2(x-1)

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Solution for 3x(2x+5)=2(x-1) equation: 


Simplifying
3x(2x + 5) = 2(x + -1)

Reorder the terms:
3x(5 + 2x) = 2(x + -1)
(5 * 3x + 2x * 3x) = 2(x + -1)
(15x + 6x2) = 2(x + -1)

Reorder the terms:
15x + 6x2 = 2(-1 + x)
15x + 6x2 = (-1 * 2 + x * 2)
15x + 6x2 = (-2 + 2x)

Solving
15x + 6x2 = -2 + 2x

Solving for variable 'x'.

Reorder the terms:
2 + 15x + -2x + 6x2 = -2 + 2x + 2 + -2x

Combine like terms: 15x + -2x = 13x
2 + 13x + 6x2 = -2 + 2x + 2 + -2x

Reorder the terms:
2 + 13x + 6x2 = -2 + 2 + 2x + -2x

Combine like terms: -2 + 2 = 0
2 + 13x + 6x2 = 0 + 2x + -2x
2 + 13x + 6x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 13x + 6x2 = 0

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


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

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2

Subproblem 2
Set the factor '(1 + 6x)' equal to zero and attempt to solve:

Simplifying
1 + 6x = 0

Solving
1 + 6x = 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 + 6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 0 + -1
6x = 0 + -1

Combine like terms: 0 + -1 = -1
6x = -1

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667
Solution
x = {-2, -0.1666666667}

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