3x^2+5=2(-4)+4(2)+8

Solution for 3x^2+5=2(-4)+4(2)+8 equation:

Simplifying
3x2 + 5 = 2(-4) + 4(2) + 8

Reorder the terms:
5 + 3x2 = 2(-4) + 4(2) + 8

Multiply 2 * -4
5 + 3x2 = -8 + 4(2) + 8

Multiply 4 * 2
5 + 3x2 = -8 + 8 + 8

Combine like terms: -8 + 8 = 0
5 + 3x2 = 0 + 8
5 + 3x2 = 8

Solving
5 + 3x2 = 8

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 + 3x2 = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 3x2 = 8 + -5
3x2 = 8 + -5

Combine like terms: 8 + -5 = 3
3x2 = 3

Divide each side by '3'.
x2 = 1

Simplifying
x2 = 1

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