20x^2-19=-17x+5

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Solution for 20x^2-19=-17x+5 equation: 


Simplifying
20x2 + -19 = -17x + 5

Reorder the terms:
-19 + 20x2 = -17x + 5

Reorder the terms:
-19 + 20x2 = 5 + -17x

Solving
-19 + 20x2 = 5 + -17x

Solving for variable 'x'.

Reorder the terms:
-19 + -5 + 17x + 20x2 = 5 + -17x + -5 + 17x

Combine like terms: -19 + -5 = -24
-24 + 17x + 20x2 = 5 + -17x + -5 + 17x

Reorder the terms:
-24 + 17x + 20x2 = 5 + -5 + -17x + 17x

Combine like terms: 5 + -5 = 0
-24 + 17x + 20x2 = 0 + -17x + 17x
-24 + 17x + 20x2 = -17x + 17x

Combine like terms: -17x + 17x = 0
-24 + 17x + 20x2 = 0

Factor a trinomial.
(-8 + -5x)(3 + -4x) = 0


Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve:

Simplifying
-8 + -5x = 0

Solving
-8 + -5x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 0 + 8
-5x = 0 + 8

Combine like terms: 0 + 8 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-1.6, 0.75}

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