(5a-2)(6a-5)=

Simple and best practice solution for (5a-2)(6a-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 (5a-2)(6a-5)= equation:


Simplifying
(5a + -2)(6a + -5) = 0

Reorder the terms:
(-2 + 5a)(6a + -5) = 0

Reorder the terms:
(-2 + 5a)(-5 + 6a) = 0

Multiply (-2 + 5a) * (-5 + 6a)
(-2(-5 + 6a) + 5a * (-5 + 6a)) = 0
((-5 * -2 + 6a * -2) + 5a * (-5 + 6a)) = 0
((10 + -12a) + 5a * (-5 + 6a)) = 0
(10 + -12a + (-5 * 5a + 6a * 5a)) = 0
(10 + -12a + (-25a + 30a2)) = 0

Combine like terms: -12a + -25a = -37a
(10 + -37a + 30a2) = 0

Solving
10 + -37a + 30a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + -5a)(5 + -6a) = 0

Subproblem 1

Set the factor '(2 + -5a)' equal to zero and attempt to solve: Simplifying 2 + -5a = 0 Solving 2 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5a = 0 + -2 -5a = 0 + -2 Combine like terms: 0 + -2 = -2 -5a = -2 Divide each side by '-5'. a = 0.4 Simplifying a = 0.4

Subproblem 2

Set the factor '(5 + -6a)' equal to zero and attempt to solve: Simplifying 5 + -6a = 0 Solving 5 + -6a = 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 + -6a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6a = 0 + -5 -6a = 0 + -5 Combine like terms: 0 + -5 = -5 -6a = -5 Divide each side by '-6'. a = 0.8333333333 Simplifying a = 0.8333333333

Solution

a = {0.4, 0.8333333333}

See similar equations:

| 5d+4d+d-9d-1=6 | | -8x+32=-24 | | 7n-4n=3n | | x+(x*.169)=10000 | | x+(x*169)=10000 | | -2x-2=17.6 | | -2x-4=17 | | 5a-9=41 | | 10n=.025 | | w/24=8 | | 3x-(4)=2x+(1) | | x+(x*1.169)=10000 | | 0.04x=20 | | 6+x=9+x-x | | 5(3-x)-4=18 | | 4.5/x=3 | | n+2-5/25-5=2n+1/5 | | 112,06=x+62,3/4 | | 12=-1/3t | | 0.3/x=1.5 | | 7+ab-a= | | x+3x-5/6-5=3x+4/3 | | 112,06=x+623/4 | | -2(2x-9)=-22 | | 10x+3=4x-21 | | 29+x=6 | | x=3x/8 | | 2y^2+2y^3= | | 6x^2-30x+5=0 | | -5(-2x-1)=-37 | | 4(x+9)=10 | | 5x-21=-3 |

Equations solver categories