Solve (4a - 5b)×(3a+7b)
Answers
Answer:
(4a+3a =7a) ×(5b+7b=12b)
7a×12b =answer
Step-by-step explanation:
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Answer:
Simplifying
(3a + 7b)(4a + -5b) = 0
Multiply (3a + 7b) * (4a + -5b)
(3a * (4a + -5b) + 7b * (4a + -5b)) = 0
((4a * 3a + -5b * 3a) + 7b * (4a + -5b)) = 0
Reorder the terms:
((-15ab + 12a2) + 7b * (4a + -5b)) = 0
((-15ab + 12a2) + 7b * (4a + -5b)) = 0
(-15ab + 12a2 + (4a * 7b + -5b * 7b)) = 0
(-15ab + 12a2 + (28ab + -35b2)) = 0
Reorder the terms:
(-15ab + 28ab + 12a2 + -35b2) = 0
Combine like terms: -15ab + 28ab = 13ab
(13ab + 12a2 + -35b2) = 0
Solving
13ab + 12a2 + -35b2 = 0
Solving for variable 'a'.
Factor a trinomial.
(4a + -5b)(3a + 7b) = 0
Subproblem 1
Set the factor '(4a + -5b)' equal to zero and attempt to solve:
Simplifying
4a + -5b = 0
Solving
4a + -5b = 0
Move all terms containing a to the left, all other terms to the right.
Add '5b' to each side of the equation.
4a + -5b + 5b = 0 + 5b
Combine like terms: -5b + 5b = 0
4a + 0 = 0 + 5b
4a = 0 + 5b
Remove the zero:
4a = 5b
Divide each side by '4'.
a = 1.25b
Simplifying
a = 1.25b
Subproblem 2
Set the factor '(3a + 7b)' equal to zero and attempt to solve:
Simplifying
3a + 7b = 0
Solving
3a + 7b = 0
Move all terms containing a to the left, all other terms to the right.
Add '-7b' to each side of the equation.
3a + 7b + -7b = 0 + -7b
Combine like terms: 7b + -7b = 0
3a + 0 = 0 + -7b
3a = 0 + -7b
Remove the zero:
3a = -7b
Divide each side by '3'.
a = -2.333333333b
Simplifying
a = -2.333333333b
Solution
a = {1.25b, -2.333333333b}