6x^2+5x-4-3(x^2+x-2)=18

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Solution for 6x^2+5x-4-3(x^2+x-2)=18 equation: 


Simplifying
6x2 + 5x + -4 + -3(x2 + x + -2) = 18

Reorder the terms:
6x2 + 5x + -4 + -3(-2 + x + x2) = 18
6x2 + 5x + -4 + (-2 * -3 + x * -3 + x2 * -3) = 18
6x2 + 5x + -4 + (6 + -3x + -3x2) = 18

Reorder the terms:
-4 + 6 + 5x + -3x + 6x2 + -3x2 = 18

Combine like terms: -4 + 6 = 2
2 + 5x + -3x + 6x2 + -3x2 = 18

Combine like terms: 5x + -3x = 2x
2 + 2x + 6x2 + -3x2 = 18

Combine like terms: 6x2 + -3x2 = 3x2
2 + 2x + 3x2 = 18

Solving
2 + 2x + 3x2 = 18

Solving for variable 'x'.

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

Combine like terms: 2 + -18 = -16
-16 + 2x + 3x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-16 + 2x + 3x2 = 0

Factor a trinomial.
(-8 + -3x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

Solving
-8 + -3x = 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 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-2.666666667, 2}

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