Question

x^2-6x=72

Answer 1

what is your question mikerowesoft

Answer 2

Move all terms to the left side and factor.

Answer 3

Simplifying
x2 + 6x + -72 = 0

Reorder the terms:
-72 + 6x + x2 = 0

Solving
-72 + 6x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-12 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-12, 6}

Answer 4

do u understand?

Answer 5

The answer is wrong.

Answer 6

(12,-6)...

Answer 7

Jinxhead..instead of going thru all this once you get to x2 + 6x + -72 = 0 why not use the quadratic equation to solve???

Answer 8

jinxhead made a mistake in the first line which is normal, use her method it will help out a lot more than the quadratic formula