(2x-5y) (-3x+7y) simply
Answers
Answer:
Simplifying
(2x + -5y)(3x + -7y) = 0
Multiply (2x + -5y) * (3x + -7y)
(2x * (3x + -7y) + -5y * (3x + -7y)) = 0
((3x * 2x + -7y * 2x) + -5y * (3x + -7y)) = 0
Reorder the terms:
((-14xy + 6x2) + -5y * (3x + -7y)) = 0
((-14xy + 6x2) + -5y * (3x + -7y)) = 0
(-14xy + 6x2 + (3x * -5y + -7y * -5y)) = 0
(-14xy + 6x2 + (-15xy + 35y2)) = 0
Reorder the terms:
(-14xy + -15xy + 6x2 + 35y2) = 0
Combine like terms: -14xy + -15xy = -29xy
(-29xy + 6x2 + 35y2) = 0
Solving
-29xy + 6x2 + 35y2 = 0
Solving for variable 'x'.
Factor a trinomial.
(2x + -5y)(3x + -7y) = 0
Subproblem 1
Set the factor '(2x + -5y)' equal to zero and attempt to solve:
Simplifying
2x + -5y = 0
Solving
2x + -5y = 0
Move all terms containing x to the left, all other terms to the right.
Add '5y' to each side of the equation.
2x + -5y + 5y = 0 + 5y
Combine like terms: -5y + 5y = 0
2x + 0 = 0 + 5y
2x = 0 + 5y
Remove the zero:
2x = 5y
Divide each side by '2'.
x = 2.5y
Simplifying
x = 2.5y
Subproblem 2
Set the factor '(3x + -7y)' equal to zero and attempt to solve:
Simplifying
3x + -7y = 0
Solving
3x + -7y = 0
Move all terms containing x to the left, all other terms to the right.
Add '7y' to each side of the equation.
3x + -7y + 7y = 0 + 7y
Combine like terms: -7y + 7y = 0
3x + 0 = 0 + 7y
3x = 0 + 7y
Remove the zero:
3x = 7y
Divide each side by '3'.
x = 2.333333333y
Simplifying
x = 2.333333333y
Solution
x = {2.5y, 2.333333333y}