21=10x^2+17x+1

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Solution for 21=10x^2+17x+1 equation: 


Simplifying
21 = 10x2 + 17x + 1

Reorder the terms:
21 = 1 + 17x + 10x2

Solving
21 = 1 + 17x + 10x2

Solving for variable 'x'.

Combine like terms: 21 + -1 = 20
20 + -17x + -10x2 = 1 + 17x + 10x2 + -1 + -17x + -10x2

Reorder the terms:
20 + -17x + -10x2 = 1 + -1 + 17x + -17x + 10x2 + -10x2

Combine like terms: 1 + -1 = 0
20 + -17x + -10x2 = 0 + 17x + -17x + 10x2 + -10x2
20 + -17x + -10x2 = 17x + -17x + 10x2 + -10x2

Combine like terms: 17x + -17x = 0
20 + -17x + -10x2 = 0 + 10x2 + -10x2
20 + -17x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
20 + -17x + -10x2 = 0

Factor a trinomial.
(4 + -5x)(5 + 2x) = 0


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

Simplifying
4 + -5x = 0

Solving
4 + -5x = 0

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

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

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

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

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

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

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {0.8, -2.5}

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