3x^2-24x=-2x^2-3x-18

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Solution for 3x^2-24x=-2x^2-3x-18 equation: 


Simplifying
3x2 + -24x = -2x2 + -3x + -18

Reorder the terms:
-24x + 3x2 = -2x2 + -3x + -18

Reorder the terms:
-24x + 3x2 = -18 + -3x + -2x2

Solving
-24x + 3x2 = -18 + -3x + -2x2

Solving for variable 'x'.

Reorder the terms:
18 + -24x + 3x + 3x2 + 2x2 = -18 + -3x + -2x2 + 18 + 3x + 2x2

Combine like terms: -24x + 3x = -21x
18 + -21x + 3x2 + 2x2 = -18 + -3x + -2x2 + 18 + 3x + 2x2

Combine like terms: 3x2 + 2x2 = 5x2
18 + -21x + 5x2 = -18 + -3x + -2x2 + 18 + 3x + 2x2

Reorder the terms:
18 + -21x + 5x2 = -18 + 18 + -3x + 3x + -2x2 + 2x2

Combine like terms: -18 + 18 = 0
18 + -21x + 5x2 = 0 + -3x + 3x + -2x2 + 2x2
18 + -21x + 5x2 = -3x + 3x + -2x2 + 2x2

Combine like terms: -3x + 3x = 0
18 + -21x + 5x2 = 0 + -2x2 + 2x2
18 + -21x + 5x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
18 + -21x + 5x2 = 0

Factor a trinomial.
(6 + -5x)(3 + -1x) = 0


Subproblem 1
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1.2, 3}

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