40x^2-16x+24x^2=

Solution for 40x^2-16x+24x^2= equation:

Simplifying
40x2 + -16x + 24x2 = 0

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

Combine like terms: 40x2 + 24x2 = 64x2
-16x + 64x2 = 0

Solving
-16x + 64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16x'.
16x(-1 + 4x) = 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 + 4x)' equal to zero and attempt to solve:

Simplifying
-1 + 4x = 0

Solving
-1 + 4x = 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 + 4x = 0 + 1

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

Combine like terms: 0 + 1 = 1
4x = 1

Divide each side by '4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {0, 0.25}