(X+7)(14-8X)=0

Simple and best practice solution for (X+7)(14-8X)=0 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 (X+7)(14-8X)=0 equation: 


Simplifying
(X + 7)(14 + -8X) = 0

Reorder the terms:
(7 + X)(14 + -8X) = 0

Multiply (7 + X) * (14 + -8X)
(7(14 + -8X) + X(14 + -8X)) = 0
((14 * 7 + -8X * 7) + X(14 + -8X)) = 0
((98 + -56X) + X(14 + -8X)) = 0
(98 + -56X + (14 * X + -8X * X)) = 0
(98 + -56X + (14X + -8X2)) = 0

Combine like terms: -56X + 14X = -42X
(98 + -42X + -8X2) = 0

Solving
98 + -42X + -8X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2'.
2(49 + -21X + -4X2) = 0

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

Ignore the factor 2.

Subproblem 1
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

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

Simplifying
7 + X = 0

Solving
7 + X = 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 + X = 0 + -7

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

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

Simplifying
X = -7
Solution
X = {1.75, -7}

See similar equations:

| 1.10(2*3.14*r)=2*3.14(r+12) | | x^2-4y^2-32=0 | | -3x-5y=14 | | 3x+5x+3y+7y= | | y=12-0.54x | | (7+X)+10=(10+7)+8 | | -8m+3n-2m+8-a= | | 3(x+(x+1)+(x+2))=72 | | 2xp=10 | | 2a+6-5a= | | 2x+2+6x-15=8x+12 | | 0.20x=360 | | (2x+1)(x-4)=1586 | | 20b=-5 | | 4x-1+6x=-3x+16+5x | | 6+3(x-4)=3[6-5(x+3)] | | 11x-8=x-42 | | 4w-2-y+6w+17x-8y= | | 12x+2y+12w+7y+2w+3x= | | 6w+2y+10x+5x+11y+4w= | | x^3-40-6x=0 | | 7x+11=5x-7 | | 25a+10a=140 | | 36x+48-12x-30=4x-62 | | 15210=(78+x)(65+x) | | 3e^2x-12=13 | | 10x-6x-24=10x-20-6x-30 | | 2x^2=9x-2 | | 27x-21-3x=12+24x-33 | | 2x^2-8x+48=0 | | 8+11r-6=9r+74-7r | | Cos(X)-5=6(X) |

Equations solver categories