1.5m^2+m=-3.5

Simple and best practice solution for 1.5m^2+m=-3.5 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 1.5m^2+m=-3.5 equation: 


Simplifying
1.5m2 + m = -3.5

Reorder the terms:
m + 1.5m2 = -3.5

Solving
m + 1.5m2 = -3.5

Solving for variable 'm'.

Reorder the terms:
3.5 + m + 1.5m2 = -3.5 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
3.5 + m + 1.5m2 = 0.0

Begin completing the square.  Divide all terms by
1.5 the coefficient of the squared term: 

Divide each side by '1.5'.
2.333333333 + 0.6666666667m + m2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + 0.6666666667m + -2.333333333 + m2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + 0.6666666667m + m2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + 0.6666666667m + m2 = 0 + -2.333333333
0.6666666667m + m2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
0.6666666667m + m2 = -2.333333333

The m term is m.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.6666666667m + 0.25 + m2 = -2.333333333 + 0.25

Reorder the terms:
0.25 + 0.6666666667m + m2 = -2.333333333 + 0.25

Combine like terms: -2.333333333 + 0.25 = -2.083333333
0.25 + 0.6666666667m + m2 = -2.083333333

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = -2.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| x^2+28x-1176=0 | | 75-3x=6x+24 | | 13-8x=163-43x | | d^2-49=0 | | 3x+13=59-9x | | -7.9c=-7.9 | | 32.4=-9w | | p-18=41/4(h-6) | | 0.93x^2+22x+130=164 | | 0.93x^2+22x-34=0 | | 6x-12=14x-42 | | 6(2s-9)=50 | | 14-4t=-6 | | x/2+x/3=7/10 | | 4v^2-1= | | 4y=-5x | | 25m^2-16= | | 2x^2-13+3=(x-1)(x-1) | | (x-1)(x-1)=2x^2-13+3 | | 8x^2+2xy-3y^2=10 | | 5x^3+20x^2-105x= | | (v+7)(v+7)=2v^2+16v+3v | | lnx-ln^5+1=0 | | 4x(3x-7)=0 | | 2u^2-8u+1=(u-5)(u-5) | | .2(x+6)=.2x+3(.1-x) | | 11(x+4)+9x=-11(x-4) | | 23-2g=19 | | 4x^3+20x^2+24x= | | -12x+8(1-10x)=8(-11x+1) | | -6(1-3p)+2(3p+3)=8p+10p | | 3/2=x^2 |

Equations solver categories