2x^2+28x+106x=8x

Solution for 2x^2+28x+106x=8x equation:

Simplifying
2x2 + 28x + 106x = 8x

Reorder the terms:
28x + 106x + 2x2 = 8x

Combine like terms: 28x + 106x = 134x
134x + 2x2 = 8x

Solving
134x + 2x2 = 8x

Solving for variable 'x'.

Reorder the terms:
134x + -8x + 2x2 = 8x + -8x

Combine like terms: 134x + -8x = 126x
126x + 2x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
126x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(63 + x) = 0

Ignore the factor 2.
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 '(63 + x)' equal to zero and attempt to solve:

Simplifying
63 + x = 0

Solving
63 + x = 0

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

Add '-63' to each side of the equation.
63 + -63 + x = 0 + -63

Combine like terms: 63 + -63 = 0
0 + x = 0 + -63
x = 0 + -63

Combine like terms: 0 + -63 = -63
x = -63

Simplifying
x = -63
Solution
x = {0, -63}