7m^2-30m-18=0

Simple and best practice solution for 7m^2-30m-18=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 7m^2-30m-18=0 equation: 


Simplifying
7m2 + -30m + -18 = 0

Reorder the terms:
-18 + -30m + 7m2 = 0

Solving
-18 + -30m + 7m2 = 0

Solving for variable 'm'.

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

Divide each side by '7'.
-2.571428571 + -4.285714286m + m2 = 0

Move the constant term to the right:

Add '2.571428571' to each side of the equation.
-2.571428571 + -4.285714286m + 2.571428571 + m2 = 0 + 2.571428571

Reorder the terms:
-2.571428571 + 2.571428571 + -4.285714286m + m2 = 0 + 2.571428571

Combine like terms: -2.571428571 + 2.571428571 = 0.000000000
0.000000000 + -4.285714286m + m2 = 0 + 2.571428571
-4.285714286m + m2 = 0 + 2.571428571

Combine like terms: 0 + 2.571428571 = 2.571428571
-4.285714286m + m2 = 2.571428571

The m term is -4.285714286m.  Take half its coefficient (-2.142857143).
Square it (4.591836735) and add it to both sides.

Add '4.591836735' to each side of the equation.
-4.285714286m + 4.591836735 + m2 = 2.571428571 + 4.591836735

Reorder the terms:
4.591836735 + -4.285714286m + m2 = 2.571428571 + 4.591836735

Combine like terms: 2.571428571 + 4.591836735 = 7.163265306
4.591836735 + -4.285714286m + m2 = 7.163265306

Factor a perfect square on the left side:
(m + -2.142857143)(m + -2.142857143) = 7.163265306

Calculate the square root of the right side: 2.676427714

Break this problem into two subproblems by setting 
(m + -2.142857143) equal to 2.676427714 and -2.676427714.


Subproblem 1
m + -2.142857143 = 2.676427714

Simplifying
m + -2.142857143 = 2.676427714

Reorder the terms:
-2.142857143 + m = 2.676427714

Solving
-2.142857143 + m = 2.676427714

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '2.142857143' to each side of the equation.
-2.142857143 + 2.142857143 + m = 2.676427714 + 2.142857143

Combine like terms: -2.142857143 + 2.142857143 = 0.000000000
0.000000000 + m = 2.676427714 + 2.142857143
m = 2.676427714 + 2.142857143

Combine like terms: 2.676427714 + 2.142857143 = 4.819284857
m = 4.819284857

Simplifying
m = 4.819284857


Subproblem 2
m + -2.142857143 = -2.676427714

Simplifying
m + -2.142857143 = -2.676427714

Reorder the terms:
-2.142857143 + m = -2.676427714

Solving
-2.142857143 + m = -2.676427714

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '2.142857143' to each side of the equation.
-2.142857143 + 2.142857143 + m = -2.676427714 + 2.142857143

Combine like terms: -2.142857143 + 2.142857143 = 0.000000000
0.000000000 + m = -2.676427714 + 2.142857143
m = -2.676427714 + 2.142857143

Combine like terms: -2.676427714 + 2.142857143 = -0.533570571
m = -0.533570571

Simplifying
m = -0.533570571


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {4.819284857, -0.533570571}

See similar equations:

| 40x/5x | | 7m^2-30-18=0 | | x^2-14x+52=0 | | (49w+5)(49w-5)=0 | | 2(6+x)=34 | | 4x^6+16x^5+42x^4=0 | | -0.6y-9.3=1.206 | | 2x+x+50+x+x+20=360 | | X-(-20)=7 | | 22=-16x^2+40x | | 135+147+103+90+118+2x=360 | | X+(-7)=9 | | 2x-10+x+30+70=180 | | X^2-11.5x+32.5=0 | | (-6-6i)-(5+i)= | | X+3=2*x | | 3(b+1)=4b-2(-3) | | 2x-7/x=x-2/5 | | 0.05(5-7x)=8-(4x+6) | | (3x+2)(4x^2-5x-3)= | | (4x+35)= | | 24=x/1 | | 27a^12= | | 49p^4-84p^2+36=0 | | x+3(x+2)=2(x+1)+20 | | 13x-3x=-60 | | P=(20+05x)+0.15(20+0.5x) | | 15=-3(3+4) | | f(x)=cos(7x+5) | | 0.2a+9=11.4 | | Cos((pi/3)/x) | | y-80=1.357(x-0) |

Equations solver categories