If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying m(m + 5) = 112 Reorder the terms: m(5 + m) = 112 (5 * m + m * m) = 112 (5m + m2) = 112 Solving 5m + m2 = 112 Solving for variable 'm'. Reorder the terms: -112 + 5m + m2 = 112 + -112 Combine like terms: 112 + -112 = 0 -112 + 5m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '112' to each side of the equation. -112 + 5m + 112 + m2 = 0 + 112 Reorder the terms: -112 + 112 + 5m + m2 = 0 + 112 Combine like terms: -112 + 112 = 0 0 + 5m + m2 = 0 + 112 5m + m2 = 0 + 112 Combine like terms: 0 + 112 = 112 5m + m2 = 112 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 = 112 + 6.25 Reorder the terms: 6.25 + 5m + m2 = 112 + 6.25 Combine like terms: 112 + 6.25 = 118.25 6.25 + 5m + m2 = 118.25 Factor a perfect square on the left side: (m + 2.5)(m + 2.5) = 118.25 Calculate the square root of the right side: 10.874281585 Break this problem into two subproblems by setting (m + 2.5) equal to 10.874281585 and -10.874281585.Subproblem 1
m + 2.5 = 10.874281585 Simplifying m + 2.5 = 10.874281585 Reorder the terms: 2.5 + m = 10.874281585 Solving 2.5 + m = 10.874281585 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 = 10.874281585 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + m = 10.874281585 + -2.5 m = 10.874281585 + -2.5 Combine like terms: 10.874281585 + -2.5 = 8.374281585 m = 8.374281585 Simplifying m = 8.374281585Subproblem 2
m + 2.5 = -10.874281585 Simplifying m + 2.5 = -10.874281585 Reorder the terms: 2.5 + m = -10.874281585 Solving 2.5 + m = -10.874281585 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 = -10.874281585 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + m = -10.874281585 + -2.5 m = -10.874281585 + -2.5 Combine like terms: -10.874281585 + -2.5 = -13.374281585 m = -13.374281585 Simplifying m = -13.374281585Solution
The solution to the problem is based on the solutions from the subproblems. m = {8.374281585, -13.374281585}
| 3.3q-5.4-2.7q=-0.4q-4.7 | | 8x^3=512 | | -6y+2=-7y+7 | | (x^4)-(48*x^3)+(560*x^2)-(1380*x)+864=0 | | 6x+40=14x-40 | | -8x(10x-1)=0 | | 8x=512 | | (x-1)(x-2)+4=(x-1)(x-1)+3 | | x+1/2=-5/6 | | n-15=-15 | | 5a+b=13 | | 15r+26=26r-51 | | -2x^2+12x-20=0 | | 3a^2+19a+28=3 | | 25-4q=46-7q | | 5w-20=2w+16 | | 29p+206=31+4p | | 13n-26=9n-6 | | 12m=10m+4 | | 15k-14=7k+18 | | a^2+6a-8=0 | | x^3-2x=9 | | 15j=5j+60 | | -4x-2(-6)=-12 | | 7h-1=9h+15 | | 8g+10=11g-17 | | 5f-12=3f+26 | | -2x-4=-7 | | 17e-5=10e+16 | | 13d-93=39+57d | | (3x^3+4x^2-2x+1)+(x^4-x^3+5x^2+2x+3)= | | -11c+34=104-6c |