0=(16(x^2))+17x-98

Solution for 0=(16(x^2))+17x-98 equation:

Simplifying
0 = (16(x2)) + 17x + -98

Reorder the terms:
0 = -98 + 17x + (16x2)

Solving
0 = -98 + 17x + (16x2)

Solving for variable 'x'.

Combine like terms: 0 + 98 = 98
98 + -17x + (-16x2) = -98 + 17x + (16x2) + 98 + -17x + (-16x2)

Reorder the terms:
98 + -17x + (-16x2) = -98 + 98 + 17x + -17x + (16x2) + (-16x2)

Combine like terms: -98 + 98 = 0
98 + -17x + (-16x2) = 0 + 17x + -17x + (16x2) + (-16x2)
98 + -17x + (-16x2) = 17x + -17x + (16x2) + (-16x2)

Combine like terms: 17x + -17x = 0
98 + -17x + (-16x2) = 0 + (16x2) + (-16x2)
98 + -17x + (-16x2) = (16x2) + (-16x2)

Combine like terms: (16x2) + (-16x2) = 0
98 + -17x + (-16x2) = 0

Factor a trinomial.
(2 + -1x)(49 + 16x) = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(49 + 16x)' equal to zero and attempt to solve:

Simplifying
49 + 16x = 0

Solving
49 + 16x = 0

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

Add '-49' to each side of the equation.
49 + -49 + 16x = 0 + -49

Combine like terms: 49 + -49 = 0
0 + 16x = 0 + -49
16x = 0 + -49

Combine like terms: 0 + -49 = -49
16x = -49

Divide each side by '16'.
x = -3.0625

Simplifying
x = -3.0625
Solution
x = {2, -3.0625}