(4x+7)(x+6)=8x+14

Simple and best practice solution for (4x+7)(x+6)=8x+14 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 (4x+7)(x+6)=8x+14 equation: 


Simplifying
(4x + 7)(x + 6) = 8x + 14

Reorder the terms:
(7 + 4x)(x + 6) = 8x + 14

Reorder the terms:
(7 + 4x)(6 + x) = 8x + 14

Multiply (7 + 4x) * (6 + x)
(7(6 + x) + 4x * (6 + x)) = 8x + 14
((6 * 7 + x * 7) + 4x * (6 + x)) = 8x + 14
((42 + 7x) + 4x * (6 + x)) = 8x + 14
(42 + 7x + (6 * 4x + x * 4x)) = 8x + 14
(42 + 7x + (24x + 4x2)) = 8x + 14

Combine like terms: 7x + 24x = 31x
(42 + 31x + 4x2) = 8x + 14

Reorder the terms:
42 + 31x + 4x2 = 14 + 8x

Solving
42 + 31x + 4x2 = 14 + 8x

Solving for variable 'x'.

Reorder the terms:
42 + -14 + 31x + -8x + 4x2 = 14 + 8x + -14 + -8x

Combine like terms: 42 + -14 = 28
28 + 31x + -8x + 4x2 = 14 + 8x + -14 + -8x

Combine like terms: 31x + -8x = 23x
28 + 23x + 4x2 = 14 + 8x + -14 + -8x

Reorder the terms:
28 + 23x + 4x2 = 14 + -14 + 8x + -8x

Combine like terms: 14 + -14 = 0
28 + 23x + 4x2 = 0 + 8x + -8x
28 + 23x + 4x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
28 + 23x + 4x2 = 0

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


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:

| Y=-60+b | | 0=y+-46 | | 6-10=-7 | | tan(22)=8/x | | -3g=3x+5 | | 104=6m | | 115=-5x-5(x-9) | | 91+9x=-2x-151 | | 4x*2-12x+5=0 | | 49-7x=-20-4x | | -20=5y+5 | | x-(0.03*x)=150 | | -2x-3(-2x+7)=-49 | | y-12=4x | | (c+3)(c+4)(c-1)= | | -x+92=-111+6x | | log(58-6)=1 | | 7x*y=252 | | Y=540+12X | | (3x+2y-7)=(5x-4y+6) | | Y=(3x-1)(3x+1) | | -82-x=98-11x | | 36=-3x+15 | | 8m+11=51 | | Y=45c+12a-(2x+3)7 | | 10x+75=-107-3x | | 10x+8y=180 | | -79+4x=11x+89 | | x3/9.5 | | 2j-15=91 | | x/47=23 | | -2x-9+3x-3-1=x |

Equations solver categories