-2x(x+3)-(x+1)(x-2)=

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Solution for -2x(x+3)-(x+1)(x-2)= equation:


Simplifying
-2x(x + 3) + -1(x + 1)(x + -2) = 0

Reorder the terms:
-2x(3 + x) + -1(x + 1)(x + -2) = 0
(3 * -2x + x * -2x) + -1(x + 1)(x + -2) = 0
(-6x + -2x2) + -1(x + 1)(x + -2) = 0

Reorder the terms:
-6x + -2x2 + -1(1 + x)(x + -2) = 0

Reorder the terms:
-6x + -2x2 + -1(1 + x)(-2 + x) = 0

Multiply (1 + x) * (-2 + x)
-6x + -2x2 + -1(1(-2 + x) + x(-2 + x)) = 0
-6x + -2x2 + -1((-2 * 1 + x * 1) + x(-2 + x)) = 0
-6x + -2x2 + -1((-2 + 1x) + x(-2 + x)) = 0
-6x + -2x2 + -1(-2 + 1x + (-2 * x + x * x)) = 0
-6x + -2x2 + -1(-2 + 1x + (-2x + x2)) = 0

Combine like terms: 1x + -2x = -1x
-6x + -2x2 + -1(-2 + -1x + x2) = 0
-6x + -2x2 + (-2 * -1 + -1x * -1 + x2 * -1) = 0
-6x + -2x2 + (2 + 1x + -1x2) = 0

Reorder the terms:
2 + -6x + 1x + -2x2 + -1x2 = 0

Combine like terms: -6x + 1x = -5x
2 + -5x + -2x2 + -1x2 = 0

Combine like terms: -2x2 + -1x2 = -3x2
2 + -5x + -3x2 = 0

Solving
2 + -5x + -3x2 = 0

Solving for variable 'x'.

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


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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {0.3333333333, -2}

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