4=-16x^2+31x+6

Solution for 4=-16x^2+31x+6 equation:

Simplifying
4 = -16x2 + 31x + 6

Reorder the terms:
4 = 6 + 31x + -16x2

Solving
4 = 6 + 31x + -16x2

Solving for variable 'x'.

Combine like terms: 4 + -6 = -2
-2 + -31x + 16x2 = 6 + 31x + -16x2 + -6 + -31x + 16x2

Reorder the terms:
-2 + -31x + 16x2 = 6 + -6 + 31x + -31x + -16x2 + 16x2

Combine like terms: 6 + -6 = 0
-2 + -31x + 16x2 = 0 + 31x + -31x + -16x2 + 16x2
-2 + -31x + 16x2 = 31x + -31x + -16x2 + 16x2

Combine like terms: 31x + -31x = 0
-2 + -31x + 16x2 = 0 + -16x2 + 16x2
-2 + -31x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-2 + -31x + 16x2 = 0

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

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

Simplifying
-1 + -16x = 0

Solving
-1 + -16x = 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 + -16x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -16x = 0 + 1
-16x = 0 + 1

Combine like terms: 0 + 1 = 1
-16x = 1

Divide each side by '-16'.
x = -0.0625

Simplifying
x = -0.0625
Subproblem 2
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
Solution
x = {-0.0625, 2}