5x^2-8x+16=-27x+20

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Solution for 5x^2-8x+16=-27x+20 equation: 


Simplifying
5x2 + -8x + 16 = -27x + 20

Reorder the terms:
16 + -8x + 5x2 = -27x + 20

Reorder the terms:
16 + -8x + 5x2 = 20 + -27x

Solving
16 + -8x + 5x2 = 20 + -27x

Solving for variable 'x'.

Reorder the terms:
16 + -20 + -8x + 27x + 5x2 = 20 + -27x + -20 + 27x

Combine like terms: 16 + -20 = -4
-4 + -8x + 27x + 5x2 = 20 + -27x + -20 + 27x

Combine like terms: -8x + 27x = 19x
-4 + 19x + 5x2 = 20 + -27x + -20 + 27x

Reorder the terms:
-4 + 19x + 5x2 = 20 + -20 + -27x + 27x

Combine like terms: 20 + -20 = 0
-4 + 19x + 5x2 = 0 + -27x + 27x
-4 + 19x + 5x2 = -27x + 27x

Combine like terms: -27x + 27x = 0
-4 + 19x + 5x2 = 0

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


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

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 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 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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 = {-4, 0.2}

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