( - 4x-5y) + (-2x+7 y
Answers
Answer:
(-4x-5y)+(-2x+7y)
-4x-5y-2x+7y
-4x-2x-5y+7y
-6x+2y
answer
Answer:
Simplifying
(4X + -5Y)(2X + 7Y) = 0
Multiply (4X + -5Y) * (2X + 7Y)
(4X * (2X + 7Y) + -5Y * (2X + 7Y)) = 0
((2X * 4X + 7Y * 4X) + -5Y * (2X + 7Y)) = 0
Reorder the terms:
((28XY + 8X2) + -5Y * (2X + 7Y)) = 0
((28XY + 8X2) + -5Y * (2X + 7Y)) = 0
(28XY + 8X2 + (2X * -5Y + 7Y * -5Y)) = 0
(28XY + 8X2 + (-10XY + -35Y2)) = 0
Reorder the terms:
(28XY + -10XY + 8X2 + -35Y2) = 0
Combine like terms: 28XY + -10XY = 18XY
(18XY + 8X2 + -35Y2) = 0
Solving
18XY + 8X2 + -35Y2 = 0
Solving for variable 'X'.
Factor a trinomial.
(4X + -5Y)(2X + 7Y) = 0
Subproblem 1
Set the factor '(4X + -5Y)' equal to zero and attempt to solve:
Simplifying
4X + -5Y = 0
Solving
4X + -5Y = 0
Move all terms containing X to the left, all other terms to the right.
Add '5Y' to each side of the equation.
4X + -5Y + 5Y = 0 + 5Y
Combine like terms: -5Y + 5Y = 0
4X + 0 = 0 + 5Y
4X = 0 + 5Y
Remove the zero:
4X = 5Y
Divide each side by '4'.
X = 1.25Y
Simplifying
X = 1.25Y
Subproblem 2
Set the factor '(2X + 7Y)' equal to zero and attempt to solve:
Simplifying
2X + 7Y = 0
Solving
2X + 7Y = 0
Move all terms containing X to the left, all other terms to the right.
Add '-7Y' to each side of the equation.
2X + 7Y + -7Y = 0 + -7Y
Combine like terms: 7Y + -7Y = 0
2X + 0 = 0 + -7Y
2X = 0 + -7Y
Remove the zero:
2X = -7Y
Divide each side by '2'.
X = -3.5Y
Simplifying
X = -3.5Y
Solution
X = {1.25Y, -3.5Y}