4x^2-15x+20=2x+5

Solution for 4x^2-15x+20=2x+5 equation:

Simplifying
4x2 + -15x + 20 = 2x + 5

Reorder the terms:
20 + -15x + 4x2 = 2x + 5

Reorder the terms:
20 + -15x + 4x2 = 5 + 2x

Solving
20 + -15x + 4x2 = 5 + 2x

Solving for variable 'x'.

Reorder the terms:
20 + -5 + -15x + -2x + 4x2 = 5 + 2x + -5 + -2x

Combine like terms: 20 + -5 = 15
15 + -15x + -2x + 4x2 = 5 + 2x + -5 + -2x

Combine like terms: -15x + -2x = -17x
15 + -17x + 4x2 = 5 + 2x + -5 + -2x

Reorder the terms:
15 + -17x + 4x2 = 5 + -5 + 2x + -2x

Combine like terms: 5 + -5 = 0
15 + -17x + 4x2 = 0 + 2x + -2x
15 + -17x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -17x + 4x2 = 0

Factor a trinomial.
(5 + -4x)(3 + -1x) = 0

Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1.25, 3}