5x+3x(6x)=4x

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Solution for 5x+3x(6x)=4x equation: 


Simplifying
5x + 3x(6x) = 4x

Remove parenthesis around (6x)
5x + 3x * 6x = 4x

Reorder the terms for easier multiplication:
5x + 3 * 6x * x = 4x

Multiply 3 * 6
5x + 18x * x = 4x

Multiply x * x
5x + 18x2 = 4x

Solving
5x + 18x2 = 4x

Solving for variable 'x'.

Reorder the terms:
5x + -4x + 18x2 = 4x + -4x

Combine like terms: 5x + -4x = 1x
1x + 18x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
1x + 18x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 18x) = 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 '(1 + 18x)' equal to zero and attempt to solve:

Simplifying
1 + 18x = 0

Solving
1 + 18x = 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 + 18x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 18x = 0 + -1
18x = 0 + -1

Combine like terms: 0 + -1 = -1
18x = -1

Divide each side by '18'.
x = -0.05555555556

Simplifying
x = -0.05555555556
Solution
x = {0, -0.05555555556}

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