2x^2-16x=1768

Solution for 2x^2-16x=1768 equation:

Simplifying
2x2 + -16x = 1768

Reorder the terms:
-16x + 2x2 = 1768

Solving
-16x + 2x2 = 1768

Solving for variable 'x'.

Reorder the terms:
-1768 + -16x + 2x2 = 1768 + -1768

Combine like terms: 1768 + -1768 = 0
-1768 + -16x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-884 + -8x + x2) = 0

Factor a trinomial.
2((-26 + -1x)(34 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-26 + -1x)' equal to zero and attempt to solve:

Simplifying
-26 + -1x = 0

Solving
-26 + -1x = 0

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

Add '26' to each side of the equation.
-26 + 26 + -1x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = 0 + 26
-1x = 0 + 26

Combine like terms: 0 + 26 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26
Subproblem 2
Set the factor '(34 + -1x)' equal to zero and attempt to solve:

Simplifying
34 + -1x = 0

Solving
34 + -1x = 0

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

Add '-34' to each side of the equation.
34 + -34 + -1x = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -1x = 0 + -34
-1x = 0 + -34

Combine like terms: 0 + -34 = -34
-1x = -34

Divide each side by '-1'.
x = 34

Simplifying
x = 34
Solution
x = {-26, 34}