Answer:
x = - 5, x = - 1
Step-by-step explanation:
Given
- 3 | 2x + 6 | = - 12 ( divide both sides by - 3 )
| 2x + 6 | = 4
The absolute value always returns a positive value, but the expression inside can be positive or negative, that is
2x + 6 = 4 ( subtract 6 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
OR
- (2x + 6) = 4 ← distribute left side
- 2x - 6 = 4 ( add 6 to both sides )
- 2x = 10 ( divide both sides by - 2 )
x = - 5
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = - 1 → - 3| - 2 + 6 | = - 3 | 4 | = - 3 × 4 = - 12 ← True
x = - 5 → - 3 | - 10 + 6 | = - 3 | - 4 | = - 3 × 4 = - 12 ← True
Thus x = - 5 and x = - 1 are the solutions
Answer:
15625
Step-by-step explanation:
Lets use the information to present the question into mathematical form:

so this means -5 is multiplying itself 6 times so this means
value of negative 5 superscript 6 means
= -5 x -5 x -5 x -5 x -5 x -5
so the answer is 15625
X^2 + 2xy + -x + y^2 + -y + -12
X - 4/2 ; where x = -1.6
Substitute x by its value.
-1.6 - 4/2 *as you notice, one number is in decimal and the other is in fraction form. We need to convert one form to the other to make the numbers like numbers so that solving the equation will be easier and less confusing.
4/2 can easily be converted into decimal by dividing 4 by 2 which equals to 2.
So, -1.6 - 2 = ? The operation is a subtraction, but the other number is in negative form, if both numbers have the same sign, we add them up and the sign is carried over to the sum.
-1.6 -2 = -3.6 * we add 1.6 + 2 = 3.6, then we carry over its negative sign = -3.6