(x+7)(2x+1)=7

Simple and best practice solution for (x+7)(2x+1)=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 (x+7)(2x+1)=7 equation: 


Simplifying
(x + 7)(2x + 1) = 7

Reorder the terms:
(7 + x)(2x + 1) = 7

Reorder the terms:
(7 + x)(1 + 2x) = 7

Multiply (7 + x) * (1 + 2x)
(7(1 + 2x) + x(1 + 2x)) = 7
((1 * 7 + 2x * 7) + x(1 + 2x)) = 7
((7 + 14x) + x(1 + 2x)) = 7
(7 + 14x + (1 * x + 2x * x)) = 7
(7 + 14x + (1x + 2x2)) = 7

Combine like terms: 14x + 1x = 15x
(7 + 15x + 2x2) = 7

Add '-7' to each side of the equation.
7 + 15x + -7 + 2x2 = 7 + -7

Reorder the terms:
7 + -7 + 15x + 2x2 = 7 + -7

Combine like terms: 7 + -7 = 0
0 + 15x + 2x2 = 7 + -7
15x + 2x2 = 7 + -7

Combine like terms: 7 + -7 = 0
15x + 2x2 = 0

Solving
15x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(15 + 2x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(15 + 2x)' equal to zero and attempt to solve:

Simplifying
15 + 2x = 0

Solving
15 + 2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 0 + -15
2x = 0 + -15

Combine like terms: 0 + -15 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5
Solution
x = {0, -7.5}

See similar equations:

| 3/5(x-10)=9 | | -4x+12=-4-4 | | 10a^2+35ab^2+10ab+35b^3= | | 3(2+1)=2n+7+3n | | 5(n+11)= | | 2x^2+12x-13=257 | | 5n+2.5=3.4 | | x+7x=6.75 | | x+7y=6.75 | | 7y-13-5y=-11 | | 5x-8-2x=x+8+2x+13 | | 92=-18 | | x+7y=675 | | x+86+100=180 | | 1.5d+9.25=1+2.25d | | 12x-2+2+7x=180 | | (2x-1)(-2x^2-3x+4)= | | 12x-2=2+7x | | 18w-2w-4w-11w+1=16 | | 25=5(2-7) | | 99=7x | | 2b=24-4b | | 0.05(6-x)+0.1x=0.48 | | -20x-(-x+5)=-3+(-3x-5) | | Ax-5=y | | 3x+211= | | (-5-25x)+(-40x-10)=-12x | | -2+23x+75=58x+3 | | (4-4i)(-2+5i)=0 | | 10(7x-8x)=7 | | 10a-10a+a+2=10 | | 4(7x+10)+5=185 |

Equations solver categories