10m(4m-9)=30

Simple and best practice solution for 10m(4m-9)=30 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 10m(4m-9)=30 equation: 


Simplifying
10m(4m + -9) = 30

Reorder the terms:
10m(-9 + 4m) = 30
(-9 * 10m + 4m * 10m) = 30
(-90m + 40m2) = 30

Solving
-90m + 40m2 = 30

Solving for variable 'm'.

Reorder the terms:
-30 + -90m + 40m2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + -90m + 40m2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-3 + -9m + 4m2) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-3 + -9m + 4m2)' equal to zero and attempt to solve:

Simplifying
-3 + -9m + 4m2 = 0

Solving
-3 + -9m + 4m2 = 0

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

Divide each side by '4'.
-0.75 + -2.25m + m2 = 0

Move the constant term to the right:

Add '0.75' to each side of the equation.
-0.75 + -2.25m + 0.75 + m2 = 0 + 0.75

Reorder the terms:
-0.75 + 0.75 + -2.25m + m2 = 0 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + -2.25m + m2 = 0 + 0.75
-2.25m + m2 = 0 + 0.75

Combine like terms: 0 + 0.75 = 0.75
-2.25m + m2 = 0.75

The m term is -2.25m.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25m + 1.265625 + m2 = 0.75 + 1.265625

Reorder the terms:
1.265625 + -2.25m + m2 = 0.75 + 1.265625

Combine like terms: 0.75 + 1.265625 = 2.015625
1.265625 + -2.25m + m2 = 2.015625

Factor a perfect square on the left side:
(m + -1.125)(m + -1.125) = 2.015625

Calculate the square root of the right side: 1.419727086

Break this problem into two subproblems by setting 
(m + -1.125) equal to 1.419727086 and -1.419727086.


Subproblem 1
m + -1.125 = 1.419727086

Simplifying
m + -1.125 = 1.419727086

Reorder the terms:
-1.125 + m = 1.419727086

Solving
-1.125 + m = 1.419727086

Solving for variable 'm'.

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

Add '1.125' to each side of the equation.
-1.125 + 1.125 + m = 1.419727086 + 1.125

Combine like terms: -1.125 + 1.125 = 0.000
0.000 + m = 1.419727086 + 1.125
m = 1.419727086 + 1.125

Combine like terms: 1.419727086 + 1.125 = 2.544727086
m = 2.544727086

Simplifying
m = 2.544727086


Subproblem 2
m + -1.125 = -1.419727086

Simplifying
m + -1.125 = -1.419727086

Reorder the terms:
-1.125 + m = -1.419727086

Solving
-1.125 + m = -1.419727086

Solving for variable 'm'.

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

Add '1.125' to each side of the equation.
-1.125 + 1.125 + m = -1.419727086 + 1.125

Combine like terms: -1.125 + 1.125 = 0.000
0.000 + m = -1.419727086 + 1.125
m = -1.419727086 + 1.125

Combine like terms: -1.419727086 + 1.125 = -0.294727086
m = -0.294727086

Simplifying
m = -0.294727086


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {2.544727086, -0.294727086}
Solution
m = {2.544727086, -0.294727086}

See similar equations:

| y^2+8y=4 | | 8(w-6)=2w | | 2x-45=43-2 | | 6*(3x-7)-12-4x=9x-(7x+6) | | x-7-7x=5 | | 10u-20=9u-11 | | 3(a+2)=a+12 | | 8s^2-30s+18= | | 16m^2-1=15m | | 2x^2-25x+36=0 | | X^2-1x-1=0 | | 6a^2-19a+15= | | -6n+10=-4n-18 | | 7y-10=5y-2 | | -6x-9y=54 | | (9m^3+4n)+7m^3= | | 21-11=5(x-1) | | 8-9x=104-37x | | 6x-2=x-0 | | 6f-14+26-3f-15f= | | -6x+2=1 | | -121-8x=8x+23 | | y^2+3y-16=y-1 | | 3(y-2)=12 | | X^2+19x+K= | | -x=3+2x+16 | | 68=-4(5x+3) | | -10x-106=29-5x | | -21(3t)= | | 28m^2+28m-56=0 | | a+1.6b=8 | | 1.6x-1.2+2.29x=0.28 |

Equations solver categories