42x^2+51x^2-18x=

Solution for 42x^2+51x^2-18x= equation:

Simplifying
42x2 + 51x2 + -18x = 0

Reorder the terms:
-18x + 42x2 + 51x2 = 0

Combine like terms: 42x2 + 51x2 = 93x2
-18x + 93x2 = 0

Solving
-18x + 93x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-6 + 31x) = 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 '(-6 + 31x)' equal to zero and attempt to solve:

Simplifying
-6 + 31x = 0

Solving
-6 + 31x = 0

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

Add '6' to each side of the equation.
-6 + 6 + 31x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 31x = 0 + 6
31x = 0 + 6

Combine like terms: 0 + 6 = 6
31x = 6

Divide each side by '31'.
x = 0.1935483871

Simplifying
x = 0.1935483871
Solution
x = {0, 0.1935483871}