40x^2-8x(2+3x)=

Solution for 40x^2-8x(2+3x)= equation:

Simplifying
40x2 + -8x(2 + 3x) = 0
40x2 + (2 * -8x + 3x * -8x) = 0
40x2 + (-16x + -24x2) = 0

Reorder the terms:
-16x + 40x2 + -24x2 = 0

Combine like terms: 40x2 + -24x2 = 16x2
-16x + 16x2 = 0

Solving
-16x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16x'.
16x(-1 + x) = 0

Ignore the factor 16.
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 '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

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

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

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

Simplifying
x = 1
Solution
x = {0, 1}