3=(2x^2)+5x

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

Simplifying
3 = (2x2) + 5x

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

Solving
3 = 5x + (2x2)

Solving for variable 'x'.

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

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

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

Factor a trinomial.
(1 + -2x)(3 + x) = 0

Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

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

Simplifying
x = 0.5
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {0.5, -3}