(4x^2+2)*3=5*(2x^2+1)

Solution for (4x^2+2)*3=5*(2x^2+1) equation:

Simplifying
(4x2 + 2) * 3 = 5(2x2 + 1)

Reorder the terms:
(2 + 4x2) * 3 = 5(2x2 + 1)

Reorder the terms for easier multiplication:
3(2 + 4x2) = 5(2x2 + 1)
(2 * 3 + 4x2 * 3) = 5(2x2 + 1)
(6 + 12x2) = 5(2x2 + 1)

Reorder the terms:
6 + 12x2 = 5(1 + 2x2)
6 + 12x2 = (1 * 5 + 2x2 * 5)
6 + 12x2 = (5 + 10x2)

Solving
6 + 12x2 = 5 + 10x2

Solving for variable 'x'.

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

Add '-10x2' to each side of the equation.
6 + 12x2 + -10x2 = 5 + 10x2 + -10x2

Combine like terms: 12x2 + -10x2 = 2x2
6 + 2x2 = 5 + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
6 + 2x2 = 5 + 0
6 + 2x2 = 5

Add '-6' to each side of the equation.
6 + -6 + 2x2 = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 2x2 = 5 + -6
2x2 = 5 + -6

Combine like terms: 5 + -6 = -1
2x2 = -1

Divide each side by '2'.
x2 = -0.5

Simplifying
x2 = -0.5

Reorder the terms:
0.5 + x2 = -0.5 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.5 + x2 = 0.0

The solution to this equation could not be determined.