4x(x+34)=2x

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Solution for 4x(x+34)=2x equation: 


Simplifying
4x(x + 34) = 2x

Reorder the terms:
4x(34 + x) = 2x
(34 * 4x + x * 4x) = 2x
(136x + 4x2) = 2x

Solving
136x + 4x2 = 2x

Solving for variable 'x'.

Reorder the terms:
136x + -2x + 4x2 = 2x + -2x

Combine like terms: 136x + -2x = 134x
134x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
134x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(67 + 2x) = 0

Ignore the factor 2.

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 '(67 + 2x)' equal to zero and attempt to solve:

Simplifying
67 + 2x = 0

Solving
67 + 2x = 0

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

Add '-67' to each side of the equation.
67 + -67 + 2x = 0 + -67

Combine like terms: 67 + -67 = 0
0 + 2x = 0 + -67
2x = 0 + -67

Combine like terms: 0 + -67 = -67
2x = -67

Divide each side by '2'.
x = -33.5

Simplifying
x = -33.5
Solution
x = {0, -33.5}

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