8(x^2-2)+3(2x^2+3)=

Solution for 8(x^2-2)+3(2x^2+3)= equation:

Simplifying
8(x2 + -2) + 3(2x2 + 3) = 0

Reorder the terms:
8(-2 + x2) + 3(2x2 + 3) = 0
(-2 * 8 + x2 * 8) + 3(2x2 + 3) = 0
(-16 + 8x2) + 3(2x2 + 3) = 0

Reorder the terms:
-16 + 8x2 + 3(3 + 2x2) = 0
-16 + 8x2 + (3 * 3 + 2x2 * 3) = 0
-16 + 8x2 + (9 + 6x2) = 0

Reorder the terms:
-16 + 9 + 8x2 + 6x2 = 0

Combine like terms: -16 + 9 = -7
-7 + 8x2 + 6x2 = 0

Combine like terms: 8x2 + 6x2 = 14x2
-7 + 14x2 = 0

Solving
-7 + 14x2 = 0

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 14x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 14x2 = 0 + 7
14x2 = 0 + 7

Combine like terms: 0 + 7 = 7
14x2 = 7

Divide each side by '14'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}