Distribute 3 throught the parentheses
Move the variable to the left-hand side and change its sign
Move the constant to the right-hand side and change its sign
Collect like terms
Divide both sides of the equation by -3
Answer:
x = , x =
Step-by-step explanation:
Given
4x² - 16x = 16x - 39 ( subtract 16x - 39 from both sides )
4x² - 32x + 39 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term, that is
product = 4 × 39 = 156 and sum = - 32
The factors are - 26 and - 6
Use these factors to split the x- term
4x² - 26x - 6x + 39 = 0 ( factor the first/second and third/fourth terms )
2x(2x - 13) - 3(2x - 13) = 0 ← factor out (2x - 13) from each term
(2x - 13)(2x - 3) = 0
Equate each factor to zero and solve for x
2x - 3 = 0 ⇒ 2x = 3 ⇒ x =
2x - 13 = 0 ⇒ 2x = 13 ⇒ x =
Answer:
2028
Step-by-step explanation:
The LCM of 4 and 6
Prime factors of 4 are 2*2
Prime factors of 6 are 2*3
Therefore, LCM is 2*2*3=12
Therefore, another time when elections coincide is after every 12 years
2016+12=2028
Answer:
The equation of line is y = -4x -4.
Step-by-step explanation:
Given that:
Slope of the line = -4
Line passes through the point ( -3, 8)
The general equation of line is given by;
y - y1 =m(x-x1)
Putting the point and slope in equation
y - 8 = -4(x - (-3))
y - 8 = -4(x+3)
y - 8 = -4x - 12
y = -4x - 12 + 8
y = -4x -4
Hence,
The equation of line is y = -4x -4.