0=16x^2-257x+1032

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Solution for 0=16x^2-257x+1032 equation: 


Simplifying
0 = 16x2 + -257x + 1032

Reorder the terms:
0 = 1032 + -257x + 16x2

Solving
0 = 1032 + -257x + 16x2

Solving for variable 'x'.

Combine like terms: 0 + -1032 = -1032
-1032 + 257x + -16x2 = 1032 + -257x + 16x2 + -1032 + 257x + -16x2

Reorder the terms:
-1032 + 257x + -16x2 = 1032 + -1032 + -257x + 257x + 16x2 + -16x2

Combine like terms: 1032 + -1032 = 0
-1032 + 257x + -16x2 = 0 + -257x + 257x + 16x2 + -16x2
-1032 + 257x + -16x2 = -257x + 257x + 16x2 + -16x2

Combine like terms: -257x + 257x = 0
-1032 + 257x + -16x2 = 0 + 16x2 + -16x2
-1032 + 257x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-1032 + 257x + -16x2 = 0

Factor a trinomial.
(-129 + 16x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-129 + 16x)' equal to zero and attempt to solve:

Simplifying
-129 + 16x = 0

Solving
-129 + 16x = 0

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

Add '129' to each side of the equation.
-129 + 129 + 16x = 0 + 129

Combine like terms: -129 + 129 = 0
0 + 16x = 0 + 129
16x = 0 + 129

Combine like terms: 0 + 129 = 129
16x = 129

Divide each side by '16'.
x = 8.0625

Simplifying
x = 8.0625

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

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {8.0625, 8}

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