(3a+7)(2a-5)=

Simple and best practice solution for (3a+7)(2a-5)= 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 (3a+7)(2a-5)= equation: 


Simplifying
(3a + 7)(2a + -5) = 0

Reorder the terms:
(7 + 3a)(2a + -5) = 0

Reorder the terms:
(7 + 3a)(-5 + 2a) = 0

Multiply (7 + 3a) * (-5 + 2a)
(7(-5 + 2a) + 3a * (-5 + 2a)) = 0
((-5 * 7 + 2a * 7) + 3a * (-5 + 2a)) = 0
((-35 + 14a) + 3a * (-5 + 2a)) = 0
(-35 + 14a + (-5 * 3a + 2a * 3a)) = 0
(-35 + 14a + (-15a + 6a2)) = 0

Combine like terms: 14a + -15a = -1a
(-35 + -1a + 6a2) = 0

Solving
-35 + -1a + 6a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-7 + -3a)(5 + -2a) = 0


Subproblem 1
Set the factor '(-7 + -3a)' equal to zero and attempt to solve:

Simplifying
-7 + -3a = 0

Solving
-7 + -3a = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3a = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3a = 0 + 7
-3a = 0 + 7

Combine like terms: 0 + 7 = 7
-3a = 7

Divide each side by '-3'.
a = -2.333333333

Simplifying
a = -2.333333333

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

Simplifying
5 + -2a = 0

Solving
5 + -2a = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2a = 0 + -5
-2a = 0 + -5

Combine like terms: 0 + -5 = -5
-2a = -5

Divide each side by '-2'.
a = 2.5

Simplifying
a = 2.5
Solution
a = {-2.333333333, 2.5}

See similar equations:

| 4x^2+47x+70=0 | | 10(x+.50)=3x+5+7x | | (-19)*y=1900 | | 36x=8x | | 4x+8x=12-10 | | x^3-5x^2+12=0 | | 5+-11n=24 | | (12)(-5)n=0 | | 42=-29(y+5) | | -7(y+4)-6y= | | X^2-7x=-144 | | 2x+x+4+2=3(x+2) | | 49=7f | | b+5=-2b-3 | | 7+2(x-6)=-3+2x(x-1) | | 2(y-4)=-3(y+2)-8 | | x-23=-100 | | 6x^2+3x-135=0 | | -3(-6-2z)=3z | | X^2+7x=-144 | | -24z+17=22 | | (x-4)p(x)=x^2+8x-48 | | 72.4=n+8.9 | | -4xy+3x+6xy-9x+7x= | | x^2-7x=10x | | 4x+y+5z=-9 | | 100(.1)=x | | -2-2(1-x)=3+2x-5x | | -2-2(1-x)=3+2-5x | | 6x^2+15x+2= | | (x+1)*(x+1)-2(3x+2)=(x-3)*(x-4) | | 10y-5y-14=90.10 |

Equations solver categories