10(7x^2-49)=

Solution for 10(7x^2-49)= equation:

Simplifying
10(7x2 + -49) = 0

Reorder the terms:
10(-49 + 7x2) = 0
(-49 * 10 + 7x2 * 10) = 0
(-490 + 70x2) = 0

Solving
-490 + 70x2 = 0

Solving for variable 'x'.

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

Add '490' to each side of the equation.
-490 + 490 + 70x2 = 0 + 490

Combine like terms: -490 + 490 = 0
0 + 70x2 = 0 + 490
70x2 = 0 + 490

Combine like terms: 0 + 490 = 490
70x2 = 490

Divide each side by '70'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}