5x(x+3)+4=2(3x+2)

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Solution for 5x(x+3)+4=2(3x+2) equation: 


Simplifying
5x(x + 3) + 4 = 2(3x + 2)

Reorder the terms:
5x(3 + x) + 4 = 2(3x + 2)
(3 * 5x + x * 5x) + 4 = 2(3x + 2)
(15x + 5x2) + 4 = 2(3x + 2)

Reorder the terms:
4 + 15x + 5x2 = 2(3x + 2)

Reorder the terms:
4 + 15x + 5x2 = 2(2 + 3x)
4 + 15x + 5x2 = (2 * 2 + 3x * 2)
4 + 15x + 5x2 = (4 + 6x)

Add '-4' to each side of the equation.
4 + 15x + -4 + 5x2 = 4 + -4 + 6x

Reorder the terms:
4 + -4 + 15x + 5x2 = 4 + -4 + 6x

Combine like terms: 4 + -4 = 0
0 + 15x + 5x2 = 4 + -4 + 6x
15x + 5x2 = 4 + -4 + 6x

Combine like terms: 4 + -4 = 0
15x + 5x2 = 0 + 6x
15x + 5x2 = 6x

Solving
15x + 5x2 = 6x

Solving for variable 'x'.

Reorder the terms:
15x + -6x + 5x2 = 6x + -6x

Combine like terms: 15x + -6x = 9x
9x + 5x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
9x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + 5x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(9 + 5x)' equal to zero and attempt to solve:

Simplifying
9 + 5x = 0

Solving
9 + 5x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 0 + -9
5x = 0 + -9

Combine like terms: 0 + -9 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8
Solution
x = {0, -1.8}

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