6p^2+30p-84=0

Simple and best practice solution for 6p^2+30p-84=0 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+30p-84=0 equation:


Simplifying
6p2 + 30p + -84 = 0

Reorder the terms:
-84 + 30p + 6p2 = 0

Solving
-84 + 30p + 6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-14 + 5p + p2) = 0

Factor a trinomial.
6((-7 + -1p)(2 + -1p)) = 0

Ignore the factor 6.

Subproblem 1

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

Subproblem 2

Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2

Solution

p = {-7, 2}

See similar equations:

| 3(-0.4y-0.2)+7y=11 | | 6(9x-1)=7(-4+2x) | | x+2y=-36 | | p/-7=12 | | 21+8t+7m-4t-4m-17= | | 6x^2-10x+5-3x=0 | | X/5-3-4 | | .24s+.16s+.24s=5.2 | | 99x+1=-80 | | 5.4m=24.3 | | 3x^2-2y^2+4y-3=0 | | 4(-4-8m)+28m+4m=-272 | | 27-16x^2=0 | | 6-3=3 | | 2x+11+1+4x=90 | | 4(8-2x)+7=2(x+8)-7 | | s+5s-65=535 | | 6x+5+4x+5=90 | | (4w+7)(2w^2-3w-5)= | | 15-7+x=7+5-3 | | 15+3.50x=5x | | h=28+108t-16t^2 | | 4x+3+3x+3=90 | | -1/3k-7=-3 | | 4x+6=5x+1 | | 3x-7y=-8 | | 7x^2+5x-16=48-43x | | 4w^3-25w=0 | | 4-k/5=0 | | x-2/6=4 | | 5(3-2x)=9(-3x+13) | | 5(3x)=3(2x-1) |

Equations solver categories