2x^2-7x^2+5=0

Solution for 2x^2-7x^2+5=0 equation:

Simplifying
2x2 + -7x2 + 5 = 0

Reorder the terms:
5 + 2x2 + -7x2 = 0

Combine like terms: 2x2 + -7x2 = -5x2
5 + -5x2 = 0

Solving
5 + -5x2 = 0

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -5x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -5x2 = 0 + -5
-5x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-5x2 = -5

Divide each side by '-5'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}