7(x^2)-12(7)+35=0

Solution for 7(x^2)-12(7)+35=0 equation:

Simplifying
7(x2) + -12(7) + 35 = 0

Multiply -12 * 7
7x2 + -84 + 35 = 0

Reorder the terms:
-84 + 35 + 7x2 = 0

Combine like terms: -84 + 35 = -49
-49 + 7x2 = 0

Solving
-49 + 7x2 = 0

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + 7x2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 7x2 = 0 + 49
7x2 = 0 + 49

Combine like terms: 0 + 49 = 49
7x2 = 49

Divide each side by '7'.
x2 = 7

Simplifying
x2 = 7

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