5x(x+4)=2x+23

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Solution for 5x(x+4)=2x+23 equation: 


Simplifying
5x(x + 4) = 2x + 23

Reorder the terms:
5x(4 + x) = 2x + 23
(4 * 5x + x * 5x) = 2x + 23
(20x + 5x2) = 2x + 23

Reorder the terms:
20x + 5x2 = 23 + 2x

Solving
20x + 5x2 = 23 + 2x

Solving for variable 'x'.

Reorder the terms:
-23 + 20x + -2x + 5x2 = 23 + 2x + -23 + -2x

Combine like terms: 20x + -2x = 18x
-23 + 18x + 5x2 = 23 + 2x + -23 + -2x

Reorder the terms:
-23 + 18x + 5x2 = 23 + -23 + 2x + -2x

Combine like terms: 23 + -23 = 0
-23 + 18x + 5x2 = 0 + 2x + -2x
-23 + 18x + 5x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-23 + 18x + 5x2 = 0

Factor a trinomial.
(-23 + -5x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-23 + -5x)' equal to zero and attempt to solve:

Simplifying
-23 + -5x = 0

Solving
-23 + -5x = 0

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

Add '23' to each side of the equation.
-23 + 23 + -5x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -5x = 0 + 23
-5x = 0 + 23

Combine like terms: 0 + 23 = 23
-5x = 23

Divide each side by '-5'.
x = -4.6

Simplifying
x = -4.6

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-4.6, 1}

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