=(7n+1)(8n+3)

Simple and best practice solution for =(7n+1)(8n+3) 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 =(7n+1)(8n+3) equation:


Simplifying
0 = (7n + 1)(8n + 3)

Reorder the terms:
0 = (1 + 7n)(8n + 3)

Reorder the terms:
0 = (1 + 7n)(3 + 8n)

Multiply (1 + 7n) * (3 + 8n)
0 = (1(3 + 8n) + 7n * (3 + 8n))
0 = ((3 * 1 + 8n * 1) + 7n * (3 + 8n))
0 = ((3 + 8n) + 7n * (3 + 8n))
0 = (3 + 8n + (3 * 7n + 8n * 7n))
0 = (3 + 8n + (21n + 56n2))

Combine like terms: 8n + 21n = 29n
0 = (3 + 29n + 56n2)

Solving
0 = 3 + 29n + 56n2

Solving for variable 'n'.

Combine like terms: 0 + -3 = -3
-3 + -29n + -56n2 = 3 + 29n + 56n2 + -3 + -29n + -56n2

Reorder the terms:
-3 + -29n + -56n2 = 3 + -3 + 29n + -29n + 56n2 + -56n2

Combine like terms: 3 + -3 = 0
-3 + -29n + -56n2 = 0 + 29n + -29n + 56n2 + -56n2
-3 + -29n + -56n2 = 29n + -29n + 56n2 + -56n2

Combine like terms: 29n + -29n = 0
-3 + -29n + -56n2 = 0 + 56n2 + -56n2
-3 + -29n + -56n2 = 56n2 + -56n2

Combine like terms: 56n2 + -56n2 = 0
-3 + -29n + -56n2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 29n + 56n2) = 0

Factor a trinomial.
-1((3 + 8n)(1 + 7n)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(3 + 8n)' equal to zero and attempt to solve: Simplifying 3 + 8n = 0 Solving 3 + 8n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8n = 0 + -3 8n = 0 + -3 Combine like terms: 0 + -3 = -3 8n = -3 Divide each side by '8'. n = -0.375 Simplifying n = -0.375

Subproblem 2

Set the factor '(1 + 7n)' equal to zero and attempt to solve: Simplifying 1 + 7n = 0 Solving 1 + 7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7n = 0 + -1 7n = 0 + -1 Combine like terms: 0 + -1 = -1 7n = -1 Divide each side by '7'. n = -0.1428571429 Simplifying n = -0.1428571429

Solution

n = {-0.375, -0.1428571429}

See similar equations:

| ((5x-(3-2x)))*4-(3x+1)*5=(x-1)*12 | | 25v^2+95v=20 | | 19q^2+4q=0 | | x^2+7x-28=10 | | 8x+25=9x-15 | | x-17-2y/3 | | Q=Bx | | 86x^2+72x-14=0 | | 3x^4-12x^3+9x^2=0 | | 12x^2-43x=-10 | | 2x^2-45x+187=0 | | 2-5=4-5 | | F(x)=x^3+2x^2+x+8 | | 7log(2+x)=7 | | 5-6b=1-78 | | 11x^2+22x+13=0 | | 5x-96=-1 | | Y^2=34-x^2 | | 38-15+9n=68 | | 3(y-9)/5=-3y | | 18+10=48 | | x^2+12+18=0 | | f(x)=-1x+2 | | 3-7g=9 | | d^3+2d^2-5d-14=0 | | -28=4-5d | | 2/7-i | | 6/7=x/2 | | 3x+2(x+3)=-19 | | -10=3(u-5)+2u | | X+2x-99=0 | | 16=3(w+2)-5w |

Equations solver categories