-16x^2+34x+50=0

Solution for -16x^2+34x+50=0 equation:

Simplifying
-16x2 + 34x + 50 = 0

Reorder the terms:
50 + 34x + -16x2 = 0

Solving
50 + 34x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + 17x + -8x2) = 0

Factor a trinomial.
2((25 + -8x)(1 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(25 + -8x)' equal to zero and attempt to solve:

Simplifying
25 + -8x = 0

Solving
25 + -8x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -8x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -8x = 0 + -25
-8x = 0 + -25

Combine like terms: 0 + -25 = -25
-8x = -25

Divide each side by '-8'.
x = 3.125

Simplifying
x = 3.125
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {3.125, -1}