# 3x^2-8x=16

## Simple and best practice solution for 3x^2-8x=16 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

## Solution for 3x^2-8x=16 equation:

Simplifying
3x2 + -8x = 16

Reorder the terms:
-8x + 3x2 = 16

Solving
-8x + 3x2 = 16

Solving for variable 'x'.

Reorder the terms:
-16 + -8x + 3x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + -8x + 3x2 = 0

Factor a trinomial.
(-4 + -3x)(4 + -1x) = 0

#### Subproblem 1

Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333

#### Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

#### Solution

x = {-1.333333333, 4}