(5a+4b)(2a-3b)=

Simple and best practice solution for (5a+4b)(2a-3b)= equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (5a+4b)(2a-3b)= equation: 


Simplifying
(5a + 4b)(2a + -3b) = 0

Multiply (5a + 4b) * (2a + -3b)
(5a * (2a + -3b) + 4b * (2a + -3b)) = 0
((2a * 5a + -3b * 5a) + 4b * (2a + -3b)) = 0

Reorder the terms:
((-15ab + 10a2) + 4b * (2a + -3b)) = 0
((-15ab + 10a2) + 4b * (2a + -3b)) = 0
(-15ab + 10a2 + (2a * 4b + -3b * 4b)) = 0
(-15ab + 10a2 + (8ab + -12b2)) = 0

Reorder the terms:
(-15ab + 8ab + 10a2 + -12b2) = 0

Combine like terms: -15ab + 8ab = -7ab
(-7ab + 10a2 + -12b2) = 0

Solving
-7ab + 10a2 + -12b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2a + -3b)(5a + 4b) = 0


Subproblem 1
Set the factor '(2a + -3b)' equal to zero and attempt to solve:

Simplifying
2a + -3b = 0

Solving
2a + -3b = 0

Move all terms containing a to the left, all other terms to the right.

Add '3b' to each side of the equation.
2a + -3b + 3b = 0 + 3b

Combine like terms: -3b + 3b = 0
2a + 0 = 0 + 3b
2a = 0 + 3b
Remove the zero:
2a = 3b

Divide each side by '2'.
a = 1.5b

Simplifying
a = 1.5b

Subproblem 2
Set the factor '(5a + 4b)' equal to zero and attempt to solve:

Simplifying
5a + 4b = 0

Solving
5a + 4b = 0

Move all terms containing a to the left, all other terms to the right.

Add '-4b' to each side of the equation.
5a + 4b + -4b = 0 + -4b

Combine like terms: 4b + -4b = 0
5a + 0 = 0 + -4b
5a = 0 + -4b
Remove the zero:
5a = -4b

Divide each side by '5'.
a = -0.8b

Simplifying
a = -0.8b
Solution
a = {1.5b, -0.8b}

See similar equations:

| K+6=5 | | z+6=2z+2 | | 4(4x-12)=-8(-8-2x) | | 5x/3+2=3 | | 5x+20+2x-10=180 | | 3=-7x+3 | | -4y-2x+1=0 | | 3+7x=7-3x | | p^2-20p+100= | | -9(7s+8)=-34 | | 3c+7=43 | | 2k+4=-16 | | (x^2-9)-5(x^2-9)=0 | | -4y-2y+1=0 | | 66+14j=-8j | | 3(4r+5)+5(r-2)= | | -1(2x+9)=5 | | 5x+20-2x-100=180 | | C=qw+z | | -3x+7-7x=-43 | | -4y-2x+1=o | | 19=9(6k+2) | | a^2+6a^2-12+5a+a^2= | | 3+3x+3+3x=24 | | 9-[x-(7+x)]= | | 4a=2x+6y | | 14+20x=35+13x | | .3x+6y=300 | | 10(-4+1y)=2y | | -3g+4=8 | | 16=3x+2-2X | | -9c+6+4c=21 |

Equations solver categories