8x-5x(x-3)=18

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Solution for 8x-5x(x-3)=18 equation: 


Simplifying
8x + -5x(x + -3) = 18

Reorder the terms:
8x + -5x(-3 + x) = 18
8x + (-3 * -5x + x * -5x) = 18
8x + (15x + -5x2) = 18

Combine like terms: 8x + 15x = 23x
23x + -5x2 = 18

Solving
23x + -5x2 = 18

Solving for variable 'x'.

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

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

Factor a trinomial.
(-18 + 5x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-18 + 5x)' equal to zero and attempt to solve:

Simplifying
-18 + 5x = 0

Solving
-18 + 5x = 0

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

Add '18' to each side of the equation.
-18 + 18 + 5x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = 0 + 18
5x = 0 + 18

Combine like terms: 0 + 18 = 18
5x = 18

Divide each side by '5'.
x = 3.6

Simplifying
x = 3.6

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 = {3.6, 1}

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