7=-16x^2+49x+4

Solution for 7=-16x^2+49x+4 equation:

Simplifying
7 = -16x2 + 49x + 4

Reorder the terms:
7 = 4 + 49x + -16x2

Solving
7 = 4 + 49x + -16x2

Solving for variable 'x'.

Combine like terms: 7 + -4 = 3
3 + -49x + 16x2 = 4 + 49x + -16x2 + -4 + -49x + 16x2

Reorder the terms:
3 + -49x + 16x2 = 4 + -4 + 49x + -49x + -16x2 + 16x2

Combine like terms: 4 + -4 = 0
3 + -49x + 16x2 = 0 + 49x + -49x + -16x2 + 16x2
3 + -49x + 16x2 = 49x + -49x + -16x2 + 16x2

Combine like terms: 49x + -49x = 0
3 + -49x + 16x2 = 0 + -16x2 + 16x2
3 + -49x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
3 + -49x + 16x2 = 0

Factor a trinomial.
(1 + -16x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0.0625, 3}