30x^2+95x+75=0

Simple and best practice solution for 30x^2+95x+75=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 30x^2+95x+75=0 equation:


Simplifying
30x2 + 95x + 75 = 0

Reorder the terms:
75 + 95x + 30x2 = 0

Solving
75 + 95x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(15 + 19x + 6x2) = 0

Factor a trinomial.
5((5 + 3x)(3 + 2x)) = 0

Ignore the factor 5.

Subproblem 1

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

Subproblem 2

Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

Solution

x = {-1.666666667, -1.5}

See similar equations:

| 1/6(10x-4)=7 | | Y-4=5/4(x-1) | | x*115=180 | | x*115=200 | | 2(1+6x)=-18+7xa | | 20=y+(1.5x(15-y)) | | 1*1x=115 | | 20=y+[1.5x(15-y)] | | 29.60=p-12p | | 17615+55d=74815 | | 3y^3=0 | | y^3=0 | | y+(y/8)=0 | | y+(y/8)=8 | | 176154+550d=0 | | 20=z+[1.5x(15-z)] | | 1/5x-1/2=5/4 | | 267.9=.333(3.14)(16)(h) | | y+(y/8)=(450/8) | | y+(y+8)=(450/8) | | 5-8x=28-15 | | 9x+6=26-1x | | 65.9=2*3.14*r | | -19-9x=8x+5 | | x+x-13=61 | | x+x-11=37 | | y+3x=30 | | 136=.5x(8+9) | | 3x-5(x-3)=-9+5x-32 | | 7x(-3x-5)=0 | | 8x^2-28x+25=0 | | 220=4*9*5+2*5*h |

Equations solver categories