2x^2+148x-1680=0

Solution for 2x^2+148x-1680=0 equation:

Simplifying
2x2 + 148x + -1680 = 0

Reorder the terms:
-1680 + 148x + 2x2 = 0

Solving
-1680 + 148x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-840 + 74x + x2) = 0

Factor a trinomial.
2((-84 + -1x)(10 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-84 + -1x)' equal to zero and attempt to solve:

Simplifying
-84 + -1x = 0

Solving
-84 + -1x = 0

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

Add '84' to each side of the equation.
-84 + 84 + -1x = 0 + 84

Combine like terms: -84 + 84 = 0
0 + -1x = 0 + 84
-1x = 0 + 84

Combine like terms: 0 + 84 = 84
-1x = 84

Divide each side by '-1'.
x = -84

Simplifying
x = -84
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-84, 10}