(2x+8)(4x+7)=

Simple and best practice solution for (2x+8)(4x+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 (2x+8)(4x+7)= equation: 


Simplifying
(2x + 8)(4x + 7) = 0

Reorder the terms:
(8 + 2x)(4x + 7) = 0

Reorder the terms:
(8 + 2x)(7 + 4x) = 0

Multiply (8 + 2x) * (7 + 4x)
(8(7 + 4x) + 2x * (7 + 4x)) = 0
((7 * 8 + 4x * 8) + 2x * (7 + 4x)) = 0
((56 + 32x) + 2x * (7 + 4x)) = 0
(56 + 32x + (7 * 2x + 4x * 2x)) = 0
(56 + 32x + (14x + 8x2)) = 0

Combine like terms: 32x + 14x = 46x
(56 + 46x + 8x2) = 0

Solving
56 + 46x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(28 + 23x + 4x2) = 0

Factor a trinomial.
2((4 + x)(7 + 4x)) = 0

Ignore the factor 2.

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

Simplifying
4 + x = 0

Solving
4 + x = 0

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

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

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(7 + 4x)' equal to zero and attempt to solve:

Simplifying
7 + 4x = 0

Solving
7 + 4x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 0 + -7
4x = 0 + -7

Combine like terms: 0 + -7 = -7
4x = -7

Divide each side by '4'.
x = -1.75

Simplifying
x = -1.75
Solution
x = {-4, -1.75}

See similar equations:

| 3x+10=15x-38 | | 3x+2+2x+4=80 | | 0.3y+0.55=-0.05 | | y-4=-5(x-6) | | 5(b+4)= | | 320+2x-50+-x+40+x+20= | | 1-5x=5+8x | | 7x(-3)x(-2)= | | -2(2x+4)+2x+2=-14 | | -3x+10-2x=-5(x+2) | | 8+6=16106 | | 4(5a-4)= | | 2-10x=-12 | | 10x^2-32x=0 | | 10x^2-32x=9 | | -2(-2x+4)+2x-1=-33 | | (5x+2)(x-1)=5x^2-x+7 | | 0-3Y=20 | | (b+3)+(3b-16)+(2b-11)=180 | | x+7x=-54 | | Z=2+3iz | | -5x+3=-2x-15 | | 18=x/8 | | -0.2=8 | | 15a^2-3a-3=0 | | 10x^2+4x-21=0 | | 6p+8q+27= | | 3-8x=2x+7x | | 6p+2q+4= | | 5(3x-8)=-25 | | 9x^2+3=111 | | -3-7x=38 |

Equations solver categories