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

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

Simplifying
(5x2 + 3) = (3 + -2x)

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

Remove parenthesis around (3 + 5x2)
3 + 5x2 = (3 + -2x)

Remove parenthesis around (3 + -2x)
3 + 5x2 = 3 + -2x

Add '-3' to each side of the equation.
3 + -3 + 5x2 = 3 + -3 + -2x

Combine like terms: 3 + -3 = 0
0 + 5x2 = 3 + -3 + -2x
5x2 = 3 + -3 + -2x

Combine like terms: 3 + -3 = 0
5x2 = 0 + -2x
5x2 = -2x

Solving
5x2 = -2x

Solving for variable 'x'.

Reorder the terms:
2x + 5x2 = -2x + 2x

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + 5x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

Solving
2 + 5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {0, -0.4}