10m^2-2m-14=0

Simple and best practice solution for 10m^2-2m-14=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 10m^2-2m-14=0 equation:


Simplifying
10m2 + -2m + -14 = 0

Reorder the terms:
-14 + -2m + 10m2 = 0

Solving
-14 + -2m + 10m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + -1m + 5m2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-7 + -1m + 5m2)' equal to zero and attempt to solve: Simplifying -7 + -1m + 5m2 = 0 Solving -7 + -1m + 5m2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -1.4 + -0.2m + m2 = 0 Move the constant term to the right: Add '1.4' to each side of the equation. -1.4 + -0.2m + 1.4 + m2 = 0 + 1.4 Reorder the terms: -1.4 + 1.4 + -0.2m + m2 = 0 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + -0.2m + m2 = 0 + 1.4 -0.2m + m2 = 0 + 1.4 Combine like terms: 0 + 1.4 = 1.4 -0.2m + m2 = 1.4 The m term is -0.2m. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2m + 0.01 + m2 = 1.4 + 0.01 Reorder the terms: 0.01 + -0.2m + m2 = 1.4 + 0.01 Combine like terms: 1.4 + 0.01 = 1.41 0.01 + -0.2m + m2 = 1.41 Factor a perfect square on the left side: (m + -0.1)(m + -0.1) = 1.41 Calculate the square root of the right side: 1.187434209 Break this problem into two subproblems by setting (m + -0.1) equal to 1.187434209 and -1.187434209.

Subproblem 1

m + -0.1 = 1.187434209 Simplifying m + -0.1 = 1.187434209 Reorder the terms: -0.1 + m = 1.187434209 Solving -0.1 + m = 1.187434209 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.1' to each side of the equation. -0.1 + 0.1 + m = 1.187434209 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + m = 1.187434209 + 0.1 m = 1.187434209 + 0.1 Combine like terms: 1.187434209 + 0.1 = 1.287434209 m = 1.287434209 Simplifying m = 1.287434209

Subproblem 2

m + -0.1 = -1.187434209 Simplifying m + -0.1 = -1.187434209 Reorder the terms: -0.1 + m = -1.187434209 Solving -0.1 + m = -1.187434209 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.1' to each side of the equation. -0.1 + 0.1 + m = -1.187434209 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + m = -1.187434209 + 0.1 m = -1.187434209 + 0.1 Combine like terms: -1.187434209 + 0.1 = -1.087434209 m = -1.087434209 Simplifying m = -1.087434209

Solution

The solution to the problem is based on the solutions from the subproblems. m = {1.287434209, -1.087434209}

Solution

m = {1.287434209, -1.087434209}

See similar equations:

| 48+2x= | | 7.3+r=8.5 | | 36x+90=6x | | 1.2x=.96 | | 2-1/8n=4n+5/8 | | 15/(2^2-(2-1))-12/4 | | x/2-69 | | 4f+7=7+4f | | 3(4z-1)-3(3-3z)=12 | | 3(4z-1)-3(3-3z)=12f | | 2/3p=2 | | 9n^2-2n-15=0 | | x^2+6.25x-5.25=0 | | 8-2m=2m+8 | | 2/5(m-3)=2+3/5m | | -35=-7x-19+x | | 8g-9=9g+2 | | 10-3y=-3y-10 | | 3n-5=-8(65n)5 | | .5w=.35 | | 8x-12y=32 | | 2/3x-71/2=3x | | 8/.05 | | 0.6+11x+22-6x-8= | | 5k/12=2 | | 9+5x=23 | | -7a-b-2c= | | 8x+5-8-3x= | | x(x+9)=3(x-6) | | M/11-15=-19 | | 7/w | | x/3+2/5=2/3-x |

Equations solver categories