20x^2=5-21x

Solution for 20x^2=5-21x equation:

Simplifying
20x2 = 5 + -21x

Solving
20x2 = 5 + -21x

Solving for variable 'x'.

Reorder the terms:
-5 + 21x + 20x2 = 5 + -21x + -5 + 21x

Reorder the terms:
-5 + 21x + 20x2 = 5 + -5 + -21x + 21x

Combine like terms: 5 + -5 = 0
-5 + 21x + 20x2 = 0 + -21x + 21x
-5 + 21x + 20x2 = -21x + 21x

Combine like terms: -21x + 21x = 0
-5 + 21x + 20x2 = 0

Factor a trinomial.
(-5 + -4x)(1 + -5x) = 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 '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {-1.25, 0.2}