9=4x^2-16x

Solution for 9=4x^2-16x equation:

Simplifying
9 = 4x2 + -16x

Reorder the terms:
9 = -16x + 4x2

Solving
9 = -16x + 4x2

Solving for variable 'x'.

Reorder the terms:
9 + 16x + -4x2 = -16x + 16x + 4x2 + -4x2

Combine like terms: -16x + 16x = 0
9 + 16x + -4x2 = 0 + 4x2 + -4x2
9 + 16x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
9 + 16x + -4x2 = 0

Factor a trinomial.
(9 + -2x)(1 + 2x) = 0

Subproblem 1
Set the factor '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {4.5, -0.5}