2x(4x-5)=6x

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


Simplifying
2x(4x + -5) = 6x

Reorder the terms:
2x(-5 + 4x) = 6x
(-5 * 2x + 4x * 2x) = 6x
(-10x + 8x2) = 6x

Solving
-10x + 8x2 = 6x

Solving for variable 'x'.

Reorder the terms:
-10x + -6x + 8x2 = 6x + -6x

Combine like terms: -10x + -6x = -16x
-16x + 8x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-16x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8x'.
8x(-2 + x) = 0

Ignore the factor 8.

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 '(-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, 2}

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