3.5x*5.5x+6=51

Solution for 3.5x*5.5x+6=51 equation:

Simplifying
3.5x * 5.5x + 6 = 51

Reorder the terms for easier multiplication:
3.5 * 5.5x * x + 6 = 51

Multiply 3.5 * 5.5
19.25x * x + 6 = 51

Multiply x * x
19.25x2 + 6 = 51

Reorder the terms:
6 + 19.25x2 = 51

Solving
6 + 19.25x2 = 51

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 19.25x2 = 51 + -6

Combine like terms: 6 + -6 = 0
0 + 19.25x2 = 51 + -6
19.25x2 = 51 + -6

Combine like terms: 51 + -6 = 45
19.25x2 = 45

Divide each side by '19.25'.
x2 = 2.337662338

Simplifying
x2 = 2.337662338

Take the square root of each side:
x = {-1.528941574, 1.528941574}