2x(2x+3)=6x+1

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Solution for 2x(2x+3)=6x+1 equation: 


Simplifying
2x(2x + 3) = 6x + 1

Reorder the terms:
2x(3 + 2x) = 6x + 1
(3 * 2x + 2x * 2x) = 6x + 1
(6x + 4x2) = 6x + 1

Reorder the terms:
6x + 4x2 = 1 + 6x

Add '-6x' to each side of the equation.
6x + -6x + 4x2 = 1 + 6x + -6x

Combine like terms: 6x + -6x = 0
0 + 4x2 = 1 + 6x + -6x
4x2 = 1 + 6x + -6x

Combine like terms: 6x + -6x = 0
4x2 = 1 + 0
4x2 = 1

Solving
4x2 = 1

Solving for variable 'x'.

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

Divide each side by '4'.
x2 = 0.25

Simplifying
x2 = 0.25

Take the square root of each side:
x = {-0.5, 0.5}

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