3x^2-18x=-2x^2-5x-8

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Solution for 3x^2-18x=-2x^2-5x-8 equation: 


Simplifying
3x2 + -18x = -2x2 + -5x + -8

Reorder the terms:
-18x + 3x2 = -2x2 + -5x + -8

Reorder the terms:
-18x + 3x2 = -8 + -5x + -2x2

Solving
-18x + 3x2 = -8 + -5x + -2x2

Solving for variable 'x'.

Reorder the terms:
8 + -18x + 5x + 3x2 + 2x2 = -8 + -5x + -2x2 + 8 + 5x + 2x2

Combine like terms: -18x + 5x = -13x
8 + -13x + 3x2 + 2x2 = -8 + -5x + -2x2 + 8 + 5x + 2x2

Combine like terms: 3x2 + 2x2 = 5x2
8 + -13x + 5x2 = -8 + -5x + -2x2 + 8 + 5x + 2x2

Reorder the terms:
8 + -13x + 5x2 = -8 + 8 + -5x + 5x + -2x2 + 2x2

Combine like terms: -8 + 8 = 0
8 + -13x + 5x2 = 0 + -5x + 5x + -2x2 + 2x2
8 + -13x + 5x2 = -5x + 5x + -2x2 + 2x2

Combine like terms: -5x + 5x = 0
8 + -13x + 5x2 = 0 + -2x2 + 2x2
8 + -13x + 5x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
8 + -13x + 5x2 = 0

Factor a trinomial.
(1 + -1x)(8 + -5x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {1, 1.6}

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