x(2x)-3=4

Solution for x(2x)-3=4 equation:

Simplifying
x(2x) + -3 = 4

Remove parenthesis around (2x)
x * 2x + -3 = 4

Reorder the terms for easier multiplication:
2x * x + -3 = 4

Multiply x * x
2x2 + -3 = 4

Reorder the terms:
-3 + 2x2 = 4

Solving
-3 + 2x2 = 4

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 2x2 = 4 + 3

Combine like terms: -3 + 3 = 0
0 + 2x2 = 4 + 3
2x2 = 4 + 3

Combine like terms: 4 + 3 = 7
2x2 = 7

Divide each side by '2'.
x2 = 3.5

Simplifying
x2 = 3.5

Take the square root of each side:
x = {-1.870828693, 1.870828693}