42x^2-21x-14x=0

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Solution for 42x^2-21x-14x=0 equation: 


Simplifying
42x2 + -21x + -14x = 0

Reorder the terms:
-21x + -14x + 42x2 = 0

Combine like terms: -21x + -14x = -35x
-35x + 42x2 = 0

Solving
-35x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(-5 + 6x) = 0

Ignore the factor 7.

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 + 6x)' equal to zero and attempt to solve:

Simplifying
-5 + 6x = 0

Solving
-5 + 6x = 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 + 6x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 0 + 5
6x = 0 + 5

Combine like terms: 0 + 5 = 5
6x = 5

Divide each side by '6'.
x = 0.8333333333

Simplifying
x = 0.8333333333
Solution
x = {0, 0.8333333333}

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