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

Simple and best practice solution for 0=(x+1)(2x+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 0=(x+1)(2x+7) equation:


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

Reorder the terms:
0 = (1 + x)(2x + 7)

Reorder the terms:
0 = (1 + x)(7 + 2x)

Multiply (1 + x) * (7 + 2x)
0 = (1(7 + 2x) + x(7 + 2x))
0 = ((7 * 1 + 2x * 1) + x(7 + 2x))
0 = ((7 + 2x) + x(7 + 2x))
0 = (7 + 2x + (7 * x + 2x * x))
0 = (7 + 2x + (7x + 2x2))

Combine like terms: 2x + 7x = 9x
0 = (7 + 9x + 2x2)

Solving
0 = 7 + 9x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -7 = -7
-7 + -9x + -2x2 = 7 + 9x + 2x2 + -7 + -9x + -2x2

Reorder the terms:
-7 + -9x + -2x2 = 7 + -7 + 9x + -9x + 2x2 + -2x2

Combine like terms: 7 + -7 = 0
-7 + -9x + -2x2 = 0 + 9x + -9x + 2x2 + -2x2
-7 + -9x + -2x2 = 9x + -9x + 2x2 + -2x2

Combine like terms: 9x + -9x = 0
-7 + -9x + -2x2 = 0 + 2x2 + -2x2
-7 + -9x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-7 + -9x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(7 + 9x + 2x2) = 0

Factor a trinomial.
-1((7 + 2x)(1 + x)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {-3.5, -1}

See similar equations:

| 5-x=x+21 | | x-10=-40+7x | | 10x+320=920 | | 6x+1-x=31 | | 1-9n=-180 | | 3x-10=-50+7x | | 0.40-4.5+2a=7+17a+4 | | 7x+6=-3x-64 | | 12x+4+7=3x-12 | | -7+10=6x-68 | | 7x-2(4x-6)=0 | | 12x-5+7=3x-12 | | 1+7x-7=3-4+2x | | -6x+4-2x=-60 | | (2)(b^2-7b+10)(b-2)=(b^2-7b+10)(b^2-6b+8) | | 3(s-8)=5(3s+2) | | -30=x+3x+10 | | 2+6x+4x=-18 | | 12x+4=6x+1+3x+6 | | 9x^2-16y^2+72x+32=16 | | 6-(4-a)-2a=0 | | -2x+3-x=15 | | 7x^2-2x+3=0 | | 2x-1-x=1 | | 0.03+0.004t=0.55 | | 4x^2-4x-2=0 | | 2x-1x=1 | | 3y^2+14y-4=12y | | 3x+17=4-1 | | 4(v+4)-6v=20 | | 14x^2+9x-5=-6 | | 2(9x+1)=2(2x-2) |

Equations solver categories