6p^2-17p-45=

Simple and best practice solution for 6p^2-17p-45= 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 6p^2-17p-45= equation:


Simplifying
6p2 + -17p + -45 = 0

Reorder the terms:
-45 + -17p + 6p2 = 0

Solving
-45 + -17p + 6p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-5 + -3p)(9 + -2p) = 0

Subproblem 1

Set the factor '(-5 + -3p)' equal to zero and attempt to solve: Simplifying -5 + -3p = 0 Solving -5 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3p = 0 + 5 -3p = 0 + 5 Combine like terms: 0 + 5 = 5 -3p = 5 Divide each side by '-3'. p = -1.666666667 Simplifying p = -1.666666667

Subproblem 2

Set the factor '(9 + -2p)' equal to zero and attempt to solve: Simplifying 9 + -2p = 0 Solving 9 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2p = 0 + -9 -2p = 0 + -9 Combine like terms: 0 + -9 = -9 -2p = -9 Divide each side by '-2'. p = 4.5 Simplifying p = 4.5

Solution

p = {-1.666666667, 4.5}

See similar equations:

| 4ab+2a+6b+3= | | u^3-6u^2=4u+24 | | 2x^3y-x^2y+5xy^2+xy^3= | | 11y+15x=x+4y+87 | | x^2-xy+2x-2y= | | 0.2(3n+4)-5n=2.2(4-2n)-3.4 | | 12x^2+24x+1.04=0 | | 3d^2=10-13d | | 4x-7=3+2x | | 2(5+z)+1=11-4z+6z | | 4.8x+0.2(x-2)=3.3-0.5(2-4x) | | -5(4r+8)+5(r-8)= | | x^5=100x^3 | | -2(-4-3z)=7z | | 8x-7=x+21 | | 8(1-m)+2(4+m)=3(6-3m)-5(m-2) | | x+4=25-x | | 15x^2-13X-20=0 | | d-9=-22 | | 3x^2-5x=o | | 4x+16-3x=-2-11 | | 4(2g+3)-2g+3=2g+2+3(2g+2) | | 4a^3+4b^3=0 | | 2z-10=2 | | (24*4)+2x= | | ((w-1)+w)*((w-2)+3w)=0 | | X^3-10x^2+12x+72=0 | | 9x-3=5x | | 2c-3(c-5)=4(2c+1)-3c | | 3m^2=6m | | A=1-2(.050)-.020 | | -4(12y)= |

Equations solver categories