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 = 6 Reorder the terms: 3m + 2m2 = 6 Solving 3m + 2m2 = 6 Solving for variable 'm'. Reorder the terms: -6 + 3m + 2m2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 3m + 2m2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -3 + 1.5m + m2 = 0 Move the constant term to the right: Add '3' to each side of the equation. -3 + 1.5m + 3 + m2 = 0 + 3 Reorder the terms: -3 + 3 + 1.5m + m2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1.5m + m2 = 0 + 3 1.5m + m2 = 0 + 3 Combine like terms: 0 + 3 = 3 1.5m + m2 = 3 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 + 0.5625 Reorder the terms: 0.5625 + 1.5m + m2 = 3 + 0.5625 Combine like terms: 3 + 0.5625 = 3.5625 0.5625 + 1.5m + m2 = 3.5625 Factor a perfect square on the left side: (m + 0.75)(m + 0.75) = 3.5625 Calculate the square root of the right side: 1.887458609 Break this problem into two subproblems by setting (m + 0.75) equal to 1.887458609 and -1.887458609.Subproblem 1
m + 0.75 = 1.887458609 Simplifying m + 0.75 = 1.887458609 Reorder the terms: 0.75 + m = 1.887458609 Solving 0.75 + m = 1.887458609 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 = 1.887458609 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + m = 1.887458609 + -0.75 m = 1.887458609 + -0.75 Combine like terms: 1.887458609 + -0.75 = 1.137458609 m = 1.137458609 Simplifying m = 1.137458609Subproblem 2
m + 0.75 = -1.887458609 Simplifying m + 0.75 = -1.887458609 Reorder the terms: 0.75 + m = -1.887458609 Solving 0.75 + m = -1.887458609 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 = -1.887458609 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + m = -1.887458609 + -0.75 m = -1.887458609 + -0.75 Combine like terms: -1.887458609 + -0.75 = -2.637458609 m = -2.637458609 Simplifying m = -2.637458609Solution
The solution to the problem is based on the solutions from the subproblems. m = {1.137458609, -2.637458609}
| 3x+10+6x=37 | | 6m+9=-24 | | 7a-4=-25 | | 189x*189x+98*=9898989 | | (x+1)(x+3)(x+4)(x+6)+24=0 | | 2(2y^2+5xy-2y+4)dx+x(x+2y-1)=0 | | e^3x-24=0 | | n/50=0.5 | | n/50= | | 2x-30=30 | | 6=(2x-1)+(x+2)+(3x+2) | | 6=(2x-1)+(x+2)+(3x+2)+x | | g=6+-1x-1 | | x-8y=70 | | X+2y-37=0 | | 24/3=24/6=16*15=20/5= | | x^4-7x^2+2=0 | | 3a+8x=43 | | 2x*7/4 | | (x-3)*(x+8)=0 | | 3×x100/800 | | 2yx100/800 | | -16y=8x | | Y-7(7)=0 | | 20(Logx)=60 | | Y-7(1)=0 | | 3x^2-4=45 | | X/4=x/4x | | 8x=-20/4 | | 2w-3=-17 | | sen(3x)-sen(5x)-sen(x)=0 | | 6(3x-2)+12=52 |