15+1.25m(m-10)=

Simple and best practice solution for 15+1.25m(m-10)= 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 15+1.25m(m-10)= equation:


Simplifying
15 + 1.25m(m + -10) = 0

Reorder the terms:
15 + 1.25m(-10 + m) = 0
15 + (-10 * 1.25m + m * 1.25m) = 0
15 + (-12.5m + 1.25m2) = 0

Solving
15 + -12.5m + 1.25m2 = 0

Solving for variable 'm'.

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

Divide each side by '1.25'.
12 + -10m + m2 = 0

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -10m + -12 + m2 = 0 + -12

Reorder the terms:
12 + -12 + -10m + m2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -10m + m2 = 0 + -12
-10m + m2 = 0 + -12

Combine like terms: 0 + -12 = -12
-10m + m2 = -12

The m term is -10m.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10m + 25 + m2 = -12 + 25

Reorder the terms:
25 + -10m + m2 = -12 + 25

Combine like terms: -12 + 25 = 13
25 + -10m + m2 = 13

Factor a perfect square on the left side:
(m + -5)(m + -5) = 13

Calculate the square root of the right side: 3.605551275

Break this problem into two subproblems by setting 
(m + -5) equal to 3.605551275 and -3.605551275.

Subproblem 1

m + -5 = 3.605551275 Simplifying m + -5 = 3.605551275 Reorder the terms: -5 + m = 3.605551275 Solving -5 + m = 3.605551275 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + m = 3.605551275 + 5 Combine like terms: -5 + 5 = 0 0 + m = 3.605551275 + 5 m = 3.605551275 + 5 Combine like terms: 3.605551275 + 5 = 8.605551275 m = 8.605551275 Simplifying m = 8.605551275

Subproblem 2

m + -5 = -3.605551275 Simplifying m + -5 = -3.605551275 Reorder the terms: -5 + m = -3.605551275 Solving -5 + m = -3.605551275 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + m = -3.605551275 + 5 Combine like terms: -5 + 5 = 0 0 + m = -3.605551275 + 5 m = -3.605551275 + 5 Combine like terms: -3.605551275 + 5 = 1.394448725 m = 1.394448725 Simplifying m = 1.394448725

Solution

The solution to the problem is based on the solutions from the subproblems. m = {8.605551275, 1.394448725}

See similar equations:

| x+0.08x=189 | | x+0.08=189 | | x+0.09x=25,750 | | 1.2/x=15 | | -4(x)=2x^2-3x | | =7(4)-9(-2)+4 | | 12n=3 | | 181/2/51/10 | | =-7(-9)+5(-7) | | x+0.14x=22,270 | | 3x*4w^4*4x^9w^7= | | =7(-5)-5 | | (8-5h)/(h) | | 4x-(6-x)=12+4 | | 21/10x=11/6 | | 0.05x+5+0.06x=155 | | 4-(-8+6)=y | | 400=x^3 | | =5(9(25)+160) | | 3+3y-4y=2 | | 4(x+2)+3(x-2)=72 | | 8x+8-3x+3=96 | | -16t^2+94t=70 | | =6(4)-(-2)+8 | | -1/3x=y | | n=8+6m | | =6(16)-(-4)+8 | | =-4(-4) | | 2x(4)+3x=44 | | 3[2(-y+y)-3]-3(2x+y)= | | 101/15-61/2 | | 3x-3y=-5 |

Equations solver categories