7x*x=5(x*x+2)

Solution for 7x*x=5(x*x+2) equation:

Simplifying
7x * x = 5(x * x + 2)

Multiply x * x
7x2 = 5(x * x + 2)

Multiply x * x
7x2 = 5(x2 + 2)

Reorder the terms:
7x2 = 5(2 + x2)
7x2 = (2 * 5 + x2 * 5)
7x2 = (10 + 5x2)

Solving
7x2 = 10 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
7x2 + -5x2 = 10 + 5x2 + -5x2

Combine like terms: 7x2 + -5x2 = 2x2
2x2 = 10 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
2x2 = 10 + 0
2x2 = 10

Divide each side by '2'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}