If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2m2 + -3m = 7 Reorder the terms: -3m + 2m2 = 7 Solving -3m + 2m2 = 7 Solving for variable 'm'. Reorder the terms: -7 + -3m + 2m2 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + -3m + 2m2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -3.5 + -1.5m + m2 = 0 Move the constant term to the right: Add '3.5' to each side of the equation. -3.5 + -1.5m + 3.5 + m2 = 0 + 3.5 Reorder the terms: -3.5 + 3.5 + -1.5m + m2 = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -1.5m + m2 = 0 + 3.5 -1.5m + m2 = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 -1.5m + m2 = 3.5 The m term is -1.5m. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5m + 0.5625 + m2 = 3.5 + 0.5625 Reorder the terms: 0.5625 + -1.5m + m2 = 3.5 + 0.5625 Combine like terms: 3.5 + 0.5625 = 4.0625 0.5625 + -1.5m + m2 = 4.0625 Factor a perfect square on the left side: (m + -0.75)(m + -0.75) = 4.0625 Calculate the square root of the right side: 2.015564437 Break this problem into two subproblems by setting (m + -0.75) equal to 2.015564437 and -2.015564437.Subproblem 1
m + -0.75 = 2.015564437 Simplifying m + -0.75 = 2.015564437 Reorder the terms: -0.75 + m = 2.015564437 Solving -0.75 + m = 2.015564437 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + m = 2.015564437 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + m = 2.015564437 + 0.75 m = 2.015564437 + 0.75 Combine like terms: 2.015564437 + 0.75 = 2.765564437 m = 2.765564437 Simplifying m = 2.765564437Subproblem 2
m + -0.75 = -2.015564437 Simplifying m + -0.75 = -2.015564437 Reorder the terms: -0.75 + m = -2.015564437 Solving -0.75 + m = -2.015564437 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + m = -2.015564437 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + m = -2.015564437 + 0.75 m = -2.015564437 + 0.75 Combine like terms: -2.015564437 + 0.75 = -1.265564437 m = -1.265564437 Simplifying m = -1.265564437Solution
The solution to the problem is based on the solutions from the subproblems. m = {2.765564437, -1.265564437}
| 1/3/45= | | f+2=16 | | 10+(-6-1+4)=x | | 3n/12+8=13 | | -12-5y=13 | | 8(c-6)=7(c-9) | | 14-5= | | 4x+28/3x^2+21x | | (p-3)+(p-7)=0 | | 6x+2(x+3)=22 | | z/4=-9 | | 4w+3-3=4 | | 97/8=b-3/4 | | 124=-5(4k-4)+7k | | (6x^7)(5x^9)= | | 36-x=-4 | | -4.6-3m= | | 10x+2=6w | | 30-x-x^2=0 | | 9x+30=2x+2 | | 6/15-(-14/10.5) | | 3/4(4x-12)=6 | | 2-(32-34)=x | | m+2m= | | -x+8=-16 | | 0.56n-2=0.67n | | 20=20 | | (-3-12)-(-40)=x | | 3x=8y-3 | | 13/x=3/9 | | 104-(4x+13)=4(x+7)+x | | 3x^2-3x/9x^2+15x |