5(7x^2-2)-8=3

Solution for 5(7x^2-2)-8=3 equation:

Simplifying
5(7x2 + -2) + -8 = 3

Reorder the terms:
5(-2 + 7x2) + -8 = 3
(-2 * 5 + 7x2 * 5) + -8 = 3
(-10 + 35x2) + -8 = 3

Reorder the terms:
-10 + -8 + 35x2 = 3

Combine like terms: -10 + -8 = -18
-18 + 35x2 = 3

Solving
-18 + 35x2 = 3

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 35x2 = 3 + 18

Combine like terms: -18 + 18 = 0
0 + 35x2 = 3 + 18
35x2 = 3 + 18

Combine like terms: 3 + 18 = 21
35x2 = 21

Divide each side by '35'.
x2 = 0.6

Simplifying
x2 = 0.6

Take the square root of each side:
x = {-0.774596669, 0.774596669}