If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2m2 + 10m = 1 Reorder the terms: 10m + 2m2 = 1 Solving 10m + 2m2 = 1 Solving for variable 'm'. Reorder the terms: -1 + 10m + 2m2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 10m + 2m2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -0.5 + 5m + m2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + 5m + 0.5 + m2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + 5m + m2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 5m + m2 = 0 + 0.5 5m + m2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 5m + m2 = 0.5 The m term is 5m. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5m + 6.25 + m2 = 0.5 + 6.25 Reorder the terms: 6.25 + 5m + m2 = 0.5 + 6.25 Combine like terms: 0.5 + 6.25 = 6.75 6.25 + 5m + m2 = 6.75 Factor a perfect square on the left side: (m + 2.5)(m + 2.5) = 6.75 Calculate the square root of the right side: 2.598076211 Break this problem into two subproblems by setting (m + 2.5) equal to 2.598076211 and -2.598076211.Subproblem 1
m + 2.5 = 2.598076211 Simplifying m + 2.5 = 2.598076211 Reorder the terms: 2.5 + m = 2.598076211 Solving 2.5 + m = 2.598076211 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + m = 2.598076211 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + m = 2.598076211 + -2.5 m = 2.598076211 + -2.5 Combine like terms: 2.598076211 + -2.5 = 0.098076211 m = 0.098076211 Simplifying m = 0.098076211Subproblem 2
m + 2.5 = -2.598076211 Simplifying m + 2.5 = -2.598076211 Reorder the terms: 2.5 + m = -2.598076211 Solving 2.5 + m = -2.598076211 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + m = -2.598076211 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + m = -2.598076211 + -2.5 m = -2.598076211 + -2.5 Combine like terms: -2.598076211 + -2.5 = -5.098076211 m = -5.098076211 Simplifying m = -5.098076211Solution
The solution to the problem is based on the solutions from the subproblems. m = {0.098076211, -5.098076211}
| 3n^2+4n+5=0 | | z=(1/2z+1/3z+1/5z+1/6z)-6 | | z=1/2z+1/2z | | d^2-36+9d=0 | | m^2-25m=-24 | | a+b/3a-b=60/84 | | 24m=-9+16M^2 | | -2y+6/-8y | | 16m^2+24M=-9 | | 37x[4527+654]= | | 37[4527+654]= | | 23x+5=65 | | 16-k/11 | | -10x-4x=8-7x | | x+2x+3x+4x+5x+(1904/2014)X=(305083/1007) | | 3x+22+4x+123=180 | | -9(3x+7y-8)= | | 8(2x-9)= | | 3z-6=2z-2 | | 4x^2-9y^2=36 | | -1=0X^2-5x | | 3y+6=2y+10 | | 4z+8=2z+40 | | 3/2-18/85 | | 18/853/2 | | 123+x=1234 | | 7y+4/5-2-4y/3 | | 2/3/16/1 | | 10x+15=3x+214 | | 2(x-6)=3x-19 | | x-20=4(x-100) | | x+20=5(x-100) |