2x*-3x+4=3

Solution for 2x*-3x+4=3 equation:

Simplifying
2x * -3x + 4 = 3

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

Multiply 2 * -3
-6x * x + 4 = 3

Multiply x * x
-6x2 + 4 = 3

Reorder the terms:
4 + -6x2 = 3

Solving
4 + -6x2 = 3

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -6x2 = 3 + -4

Combine like terms: 4 + -4 = 0
0 + -6x2 = 3 + -4
-6x2 = 3 + -4

Combine like terms: 3 + -4 = -1
-6x2 = -1

Divide each side by '-6'.
x2 = 0.1666666667

Simplifying
x2 = 0.1666666667

Take the square root of each side:
x = {-0.408248291, 0.408248291}