=(a-4)(a+7)

Simple and best practice solution for =(a-4)(a+7) 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 =(a-4)(a+7) equation: 


Simplifying
0 = (a + -4)(a + 7)

Reorder the terms:
0 = (-4 + a)(a + 7)

Reorder the terms:
0 = (-4 + a)(7 + a)

Multiply (-4 + a) * (7 + a)
0 = (-4(7 + a) + a(7 + a))
0 = ((7 * -4 + a * -4) + a(7 + a))
0 = ((-28 + -4a) + a(7 + a))
0 = (-28 + -4a + (7 * a + a * a))
0 = (-28 + -4a + (7a + a2))

Combine like terms: -4a + 7a = 3a
0 = (-28 + 3a + a2)

Solving
0 = -28 + 3a + a2

Solving for variable 'a'.

Combine like terms: 0 + 28 = 28
28 + -3a + -1a2 = -28 + 3a + a2 + 28 + -3a + -1a2

Reorder the terms:
28 + -3a + -1a2 = -28 + 28 + 3a + -3a + a2 + -1a2

Combine like terms: -28 + 28 = 0
28 + -3a + -1a2 = 0 + 3a + -3a + a2 + -1a2
28 + -3a + -1a2 = 3a + -3a + a2 + -1a2

Combine like terms: 3a + -3a = 0
28 + -3a + -1a2 = 0 + a2 + -1a2
28 + -3a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
28 + -3a + -1a2 = 0

Factor a trinomial.
(4 + -1a)(7 + a) = 0


Subproblem 1
Set the factor '(4 + -1a)' equal to zero and attempt to solve:

Simplifying
4 + -1a = 0

Solving
4 + -1a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1a = 0 + -4
-1a = 0 + -4

Combine like terms: 0 + -4 = -4
-1a = -4

Divide each side by '-1'.
a = 4

Simplifying
a = 4

Subproblem 2
Set the factor '(7 + a)' equal to zero and attempt to solve:

Simplifying
7 + a = 0

Solving
7 + a = 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 + a = 0 + -7

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

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

Simplifying
a = -7
Solution
a = {4, -7}

See similar equations:

| 14=d-7 | | m^2-n^2=17 | | (x-2y)dy-(2x+y)dx=0 | | 17=c+5 | | (x-3)-(4x-5)=0 | | 9/5d-10/9 | | 3+b=16 | | X^2+y^2-10x-2y+10=0 | | x-x^30=87 | | 16t+51= | | 3+(x+8)=9 | | z+a=12 | | 4(-9)+3y=24 | | r-6=4 | | p-3=12 | | X(3x+6)(x-4)=0 | | 5n-16=n+0 | | =8x^2y(x^2-2xy+y^2) | | 6-10x=5-4x-(4/2(5+5^3)+6x) | | z+7=9 | | 8x+6=13x-4 | | 12(v+4)-4v=2(4v+4)-12 | | -n-6=-42n | | x^2+6+8x=0 | | x^2+6+8x= | | 3x-3=1-x | | -9=5v-4v | | =-6a(a-b+4c) | | 4b-8+4b=-8 | | 10(v+1)-4v=2(3v+3)-14 | | 10(v+1)-4v=2(3v+3)-15 | | 7x+46=4x+70 |

Equations solver categories