How to factor this?

Question

Here is the problem.
-2x(squared) +12x-16= 0

Sorry there wasnt a squared key but the -2x is squared.

Answer 1

-2x² + 12x - 16 = 0

First multiply thru by -1

2x² - 12x + 16 = 0

Next divide thru by 2

x² - 6x + 8 = 0

Now factor

(x - 4)(x - 2) = 0

x = 2, x = 4

By the way, to make the squared sign
hold down the ALT key while you key in 0 1 7 8
on the numeric pad.
.

Answer 2

Simplifying
-2x^2 + 12x + -16 = 0

Reorder the terms:
-16 + 12x + -2x^2 = 0

Solving
-16 + 12x + -2x^2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 6x + -1x^2) = 0

Factor a trinomial.
2((-4 + x)(2 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 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 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4
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 = {4, 2}

Answer 3

you square the (-2x) to become 4x. Then you multiply 4 and -16 to get -64. You find two numbers whose product equal -64, and whose sum equals 12. thos numbers are 16 and -4. Then you split the 12x into -4x + 16x and it will be 4x^2 - 4x + 16x - 16 = 0. that becomes (4x+16)(x - 1)=0

Answer 4

-2x^2+12x-16=0

(-2x+4)(x-4)=0

Answer 5

-(2x + 4)(x + 4)

Answer 6

(-2x+4)(x-4)