5x*7x-7*3=8

Solution for 5x*7x-7*3=8 equation:

Simplifying
5x * 7x + -7 * 3 = 8

Reorder the terms for easier multiplication:
5 * 7x * x + -7 * 3 = 8

Multiply 5 * 7
35x * x + -7 * 3 = 8

Multiply x * x
35x2 + -7 * 3 = 8

Multiply -7 * 3
35x2 + -21 = 8

Reorder the terms:
-21 + 35x2 = 8

Solving
-21 + 35x2 = 8

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 35x2 = 8 + 21

Combine like terms: -21 + 21 = 0
0 + 35x2 = 8 + 21
35x2 = 8 + 21

Combine like terms: 8 + 21 = 29
35x2 = 29

Divide each side by '35'.
x2 = 0.8285714286

Simplifying
x2 = 0.8285714286

Take the square root of each side:
x = {-0.91025899, 0.91025899}