4x^2+16x-6=3

Solution for 4x^2+16x-6=3 equation:

Simplifying
4x2 + 16x + -6 = 3

Reorder the terms:
-6 + 16x + 4x2 = 3

Solving
-6 + 16x + 4x2 = 3

Solving for variable 'x'.

Reorder the terms:
-6 + -3 + 16x + 4x2 = 3 + -3

Combine like terms: -6 + -3 = -9
-9 + 16x + 4x2 = 3 + -3

Combine like terms: 3 + -3 = 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}