2x(9-5x)-(-4x-6x^2)=

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Solution for 2x(9-5x)-(-4x-6x^2)= equation: 


Simplifying
2x(9 + -5x) + -1(-4x + -6x2) = 0
(9 * 2x + -5x * 2x) + -1(-4x + -6x2) = 0
(18x + -10x2) + -1(-4x + -6x2) = 0
18x + -10x2 + (-4x * -1 + -6x2 * -1) = 0
18x + -10x2 + (4x + 6x2) = 0

Reorder the terms:
18x + 4x + -10x2 + 6x2 = 0

Combine like terms: 18x + 4x = 22x
22x + -10x2 + 6x2 = 0

Combine like terms: -10x2 + 6x2 = -4x2
22x + -4x2 = 0

Solving
22x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(11 + -2x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(11 + -2x)' equal to zero and attempt to solve:

Simplifying
11 + -2x = 0

Solving
11 + -2x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 0 + -11
-2x = 0 + -11

Combine like terms: 0 + -11 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5
Solution
x = {0, 5.5}

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