0=6p^2-13p-8

Simple and best practice solution for 0=6p^2-13p-8 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=6p^2-13p-8 equation: 


Simplifying
0 = 6p2 + -13p + -8

Reorder the terms:
0 = -8 + -13p + 6p2

Solving
0 = -8 + -13p + 6p2

Solving for variable 'p'.

Combine like terms: 0 + 8 = 8
8 + 13p + -6p2 = -8 + -13p + 6p2 + 8 + 13p + -6p2

Reorder the terms:
8 + 13p + -6p2 = -8 + 8 + -13p + 13p + 6p2 + -6p2

Combine like terms: -8 + 8 = 0
8 + 13p + -6p2 = 0 + -13p + 13p + 6p2 + -6p2
8 + 13p + -6p2 = -13p + 13p + 6p2 + -6p2

Combine like terms: -13p + 13p = 0
8 + 13p + -6p2 = 0 + 6p2 + -6p2
8 + 13p + -6p2 = 6p2 + -6p2

Combine like terms: 6p2 + -6p2 = 0
8 + 13p + -6p2 = 0

Factor a trinomial.
(8 + -3p)(1 + 2p) = 0


Subproblem 1
Set the factor '(8 + -3p)' equal to zero and attempt to solve:

Simplifying
8 + -3p = 0

Solving
8 + -3p = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3p = 0 + -8
-3p = 0 + -8

Combine like terms: 0 + -8 = -8
-3p = -8

Divide each side by '-3'.
p = 2.666666667

Simplifying
p = 2.666666667

Subproblem 2
Set the factor '(1 + 2p)' equal to zero and attempt to solve:

Simplifying
1 + 2p = 0

Solving
1 + 2p = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2p = 0 + -1
2p = 0 + -1

Combine like terms: 0 + -1 = -1
2p = -1

Divide each side by '2'.
p = -0.5

Simplifying
p = -0.5
Solution
p = {2.666666667, -0.5}

See similar equations:

| 2x+27+2x-11=100 | | 8n+6+-2n=34 | | 6m^2+11m-2=0 | | 56-5x=6-10x | | 4(m^2)(p^2)-13m-13p-12= | | 2x-15+x-5=148 | | (4x)(4x)-13x+6=-8x+5 | | 4x+8=-34-2x | | 4(m^2)(m^2)-13m-13p-12= | | 8n+6+2n=34 | | 4h+4h=100 | | 2x+15=x-15 | | 1+10x=-26+x | | 2x+3-6x=4(9-6x)+7 | | 10x-5=5x | | -3+-1--4= | | (6x)(6x)+7x-5=0 | | (7*x+7)*(4*x^1)=5 | | 108-5x=10x+19 | | 4.11=-1.37x+3.2 | | 3x-12=x+2 | | 4+3n=3+5n | | 3=-2x+27 | | c^4+49c^2+48= | | 10(c+6.02)=-102 | | D(d-5)+7= | | 14+2p=7 | | 3x^2-6x=-6 | | 3c^2-10c+8= | | 1x-8=3 | | =12x^2-44x+112 | | -3x-19=10x+2 |

Equations solver categories