5(x^2-7)=3(4+x^2)+5

Solution for 5(x^2-7)=3(4+x^2)+5 equation:

Simplifying
5(x2 + -7) = 3(4 + x2) + 5

Reorder the terms:
5(-7 + x2) = 3(4 + x2) + 5
(-7 * 5 + x2 * 5) = 3(4 + x2) + 5
(-35 + 5x2) = 3(4 + x2) + 5
-35 + 5x2 = (4 * 3 + x2 * 3) + 5
-35 + 5x2 = (12 + 3x2) + 5

Reorder the terms:
-35 + 5x2 = 12 + 5 + 3x2

Combine like terms: 12 + 5 = 17
-35 + 5x2 = 17 + 3x2

Solving
-35 + 5x2 = 17 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
-35 + 5x2 + -3x2 = 17 + 3x2 + -3x2

Combine like terms: 5x2 + -3x2 = 2x2
-35 + 2x2 = 17 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-35 + 2x2 = 17 + 0
-35 + 2x2 = 17

Add '35' to each side of the equation.
-35 + 35 + 2x2 = 17 + 35

Combine like terms: -35 + 35 = 0
0 + 2x2 = 17 + 35
2x2 = 17 + 35

Combine like terms: 17 + 35 = 52
2x2 = 52

Divide each side by '2'.
x2 = 26

Simplifying
x2 = 26

Take the square root of each side:
x = {-5.099019514, 5.099019514}