3x^2-11x=4x

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Solution for 3x^2-11x=4x equation: 


Simplifying
3x2 + -11x = 4x

Reorder the terms:
-11x + 3x2 = 4x

Solving
-11x + 3x2 = 4x

Solving for variable 'x'.

Reorder the terms:
-11x + -4x + 3x2 = 4x + -4x

Combine like terms: -11x + -4x = -15x
-15x + 3x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-15x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-5 + x) = 0

Ignore the factor 3.

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 '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 0

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

Add '5' to each side of the equation.
-5 + 5 + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x = 0 + 5
x = 0 + 5

Combine like terms: 0 + 5 = 5
x = 5

Simplifying
x = 5
Solution
x = {0, 5}

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