35m^2+295m-180=0

Simple and best practice solution for 35m^2+295m-180=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 35m^2+295m-180=0 equation:


Simplifying
35m2 + 295m + -180 = 0

Reorder the terms:
-180 + 295m + 35m2 = 0

Solving
-180 + 295m + 35m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-36 + 59m + 7m2) = 0

Factor a trinomial.
5((-9 + -1m)(4 + -7m)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-9 + -1m)' equal to zero and attempt to solve: Simplifying -9 + -1m = 0 Solving -9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1m = 0 + 9 -1m = 0 + 9 Combine like terms: 0 + 9 = 9 -1m = 9 Divide each side by '-1'. m = -9 Simplifying m = -9

Subproblem 2

Set the factor '(4 + -7m)' equal to zero and attempt to solve: Simplifying 4 + -7m = 0 Solving 4 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7m = 0 + -4 -7m = 0 + -4 Combine like terms: 0 + -4 = -4 -7m = -4 Divide each side by '-7'. m = 0.5714285714 Simplifying m = 0.5714285714

Solution

m = {-9, 0.5714285714}

See similar equations:

| 2/315= | | -7b+4(2b-3)=16 | | 4x-5(0)=0 | | 2x+28y=24 | | 3x+2x+20+4x-20=360 | | 0.6666666666666667(x-4)=0.3333333333333333(2x-6) | | -0+3y=-4 | | -8+3x-4x=-14 | | ln(x-2)+ln(2x+1)=10 | | 28m^3+44m^2-120m=0 | | 0+3y=-4 | | 3x^2-51x=-6x^2-7x-32 | | -x+3(0)=-4 | | 3(g-1)-7=3g+4 | | -18t-3t+2=-5t-6t | | -102=3x+7x+8 | | 5r=-6r+55 | | 5(0)-4y=4 | | 6a^2-60a+54=0 | | 6t-4t=1.5 | | X^2-4x+168=0 | | 3(4n+10)=90 | | 6p^2+84p+240=0 | | 12m^2+25m+12=0 | | 4=-6x+7x+3 | | 12-5(2w-13)=3(2w-3) | | 2w-1.5=w+1.5 | | 2(5w-12)=6(-2w+3)+2 | | 9x^3+9x^2+5x+1=0 | | 28+8p=5(1-3p) | | 4w^2-13w=12 | | 5x-4(0)=4 |

Equations solver categories