-3x(-2-x)=-x^2+4

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


Simplifying
-3x(-2 + -1x) = -1x2 + 4
(-2 * -3x + -1x * -3x) = -1x2 + 4
(6x + 3x2) = -1x2 + 4

Reorder the terms:
6x + 3x2 = 4 + -1x2

Solving
6x + 3x2 = 4 + -1x2

Solving for variable 'x'.

Reorder the terms:
-4 + 6x + 3x2 + x2 = 4 + -1x2 + -4 + x2

Combine like terms: 3x2 + x2 = 4x2
-4 + 6x + 4x2 = 4 + -1x2 + -4 + x2

Reorder the terms:
-4 + 6x + 4x2 = 4 + -4 + -1x2 + x2

Combine like terms: 4 + -4 = 0
-4 + 6x + 4x2 = 0 + -1x2 + x2
-4 + 6x + 4x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-4 + 6x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 3x + 2x2) = 0

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

Ignore the factor 2.

Subproblem 1
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

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-2, 0.5}

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