2x(4x+3)=6x+14

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Solution for 2x(4x+3)=6x+14 equation: 


Simplifying
2x(4x + 3) = 6x + 14

Reorder the terms:
2x(3 + 4x) = 6x + 14
(3 * 2x + 4x * 2x) = 6x + 14
(6x + 8x2) = 6x + 14

Reorder the terms:
6x + 8x2 = 14 + 6x

Add '-6x' to each side of the equation.
6x + -6x + 8x2 = 14 + 6x + -6x

Combine like terms: 6x + -6x = 0
0 + 8x2 = 14 + 6x + -6x
8x2 = 14 + 6x + -6x

Combine like terms: 6x + -6x = 0
8x2 = 14 + 0
8x2 = 14

Solving
8x2 = 14

Solving for variable 'x'.

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

Divide each side by '8'.
x2 = 1.75

Simplifying
x2 = 1.75

Take the square root of each side:
x = {-1.322875656, 1.322875656}

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