5m^2=-140-55m

Simple and best practice solution for 5m^2=-140-55m 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 5m^2=-140-55m equation:


Simplifying
5m2 = -140 + -55m

Solving
5m2 = -140 + -55m

Solving for variable 'm'.

Reorder the terms:
140 + 55m + 5m2 = -140 + -55m + 140 + 55m

Reorder the terms:
140 + 55m + 5m2 = -140 + 140 + -55m + 55m

Combine like terms: -140 + 140 = 0
140 + 55m + 5m2 = 0 + -55m + 55m
140 + 55m + 5m2 = -55m + 55m

Combine like terms: -55m + 55m = 0
140 + 55m + 5m2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(28 + 11m + m2) = 0

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

Ignore the factor 5.

Subproblem 1

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

Subproblem 2

Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 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 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4

Solution

m = {-7, -4}

See similar equations:

| 4f^2-49f+12=0 | | 6+12x=6+x | | x+2y=650 | | y=ln(x^3-63) | | (2x-6)+(8x+9)= | | -8m-11=49 | | -21m-12=102 | | x=2x-650 | | 6x+2+3x-5=-2+10x+1 | | 4*cos^3*(x)=cos*(3*x)+3*cos*(x) | | x/455=177/71 | | 10/(x^1/11) | | 20x^3-33x^2+7x= | | y-2=1(x-(-1)) | | 4*cos^3(x)= | | x+5y-z=2 | | 8m-17=63 | | (x-2)/2=3x-1 | | 11(15)= | | (8u^7-16u^3)/4u^3 | | 4X^2-18x+8= | | (12/18)x=40/(x-4) | | z^2+12z+36=-2z | | 8y^2-22y+5=0 | | 6a(3a-4b)= | | 5x^2-2x-30=0 | | 2x+24-6x-8=10 | | g(x)=x/x^2-16 | | 4cos^3(x)=cos(3x)+3cos(x) | | X+9.40X= | | 5w^2=-9w-5 | | 9x^2-32=6x |

Equations solver categories