2x^2-20x=-3x^2-2x-16

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Solution for 2x^2-20x=-3x^2-2x-16 equation: 


Simplifying
2x2 + -20x = -3x2 + -2x + -16

Reorder the terms:
-20x + 2x2 = -3x2 + -2x + -16

Reorder the terms:
-20x + 2x2 = -16 + -2x + -3x2

Solving
-20x + 2x2 = -16 + -2x + -3x2

Solving for variable 'x'.

Reorder the terms:
16 + -20x + 2x + 2x2 + 3x2 = -16 + -2x + -3x2 + 16 + 2x + 3x2

Combine like terms: -20x + 2x = -18x
16 + -18x + 2x2 + 3x2 = -16 + -2x + -3x2 + 16 + 2x + 3x2

Combine like terms: 2x2 + 3x2 = 5x2
16 + -18x + 5x2 = -16 + -2x + -3x2 + 16 + 2x + 3x2

Reorder the terms:
16 + -18x + 5x2 = -16 + 16 + -2x + 2x + -3x2 + 3x2

Combine like terms: -16 + 16 = 0
16 + -18x + 5x2 = 0 + -2x + 2x + -3x2 + 3x2
16 + -18x + 5x2 = -2x + 2x + -3x2 + 3x2

Combine like terms: -2x + 2x = 0
16 + -18x + 5x2 = 0 + -3x2 + 3x2
16 + -18x + 5x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
16 + -18x + 5x2 = 0

Factor a trinomial.
(8 + -5x)(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {1.6, 2}

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