If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6m + 5 + -3m = 7m(m + -1) Reorder the terms: 5 + 6m + -3m = 7m(m + -1) Combine like terms: 6m + -3m = 3m 5 + 3m = 7m(m + -1) Reorder the terms: 5 + 3m = 7m(-1 + m) 5 + 3m = (-1 * 7m + m * 7m) 5 + 3m = (-7m + 7m2) Solving 5 + 3m = -7m + 7m2 Solving for variable 'm'. Combine like terms: 3m + 7m = 10m 5 + 10m + -7m2 = -7m + 7m2 + 7m + -7m2 Reorder the terms: 5 + 10m + -7m2 = -7m + 7m + 7m2 + -7m2 Combine like terms: -7m + 7m = 0 5 + 10m + -7m2 = 0 + 7m2 + -7m2 5 + 10m + -7m2 = 7m2 + -7m2 Combine like terms: 7m2 + -7m2 = 0 5 + 10m + -7m2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. -0.7142857143 + -1.428571429m + m2 = 0 Move the constant term to the right: Add '0.7142857143' to each side of the equation. -0.7142857143 + -1.428571429m + 0.7142857143 + m2 = 0 + 0.7142857143 Reorder the terms: -0.7142857143 + 0.7142857143 + -1.428571429m + m2 = 0 + 0.7142857143 Combine like terms: -0.7142857143 + 0.7142857143 = 0.0000000000 0.0000000000 + -1.428571429m + m2 = 0 + 0.7142857143 -1.428571429m + m2 = 0 + 0.7142857143 Combine like terms: 0 + 0.7142857143 = 0.7142857143 -1.428571429m + m2 = 0.7142857143 The m term is -1.428571429m. Take half its coefficient (-0.7142857145). Square it (0.5102040819) and add it to both sides. Add '0.5102040819' to each side of the equation. -1.428571429m + 0.5102040819 + m2 = 0.7142857143 + 0.5102040819 Reorder the terms: 0.5102040819 + -1.428571429m + m2 = 0.7142857143 + 0.5102040819 Combine like terms: 0.7142857143 + 0.5102040819 = 1.2244897962 0.5102040819 + -1.428571429m + m2 = 1.2244897962 Factor a perfect square on the left side: (m + -0.7142857145)(m + -0.7142857145) = 1.2244897962 Calculate the square root of the right side: 1.10656667 Break this problem into two subproblems by setting (m + -0.7142857145) equal to 1.10656667 and -1.10656667.Subproblem 1
m + -0.7142857145 = 1.10656667 Simplifying m + -0.7142857145 = 1.10656667 Reorder the terms: -0.7142857145 + m = 1.10656667 Solving -0.7142857145 + m = 1.10656667 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.7142857145' to each side of the equation. -0.7142857145 + 0.7142857145 + m = 1.10656667 + 0.7142857145 Combine like terms: -0.7142857145 + 0.7142857145 = 0.0000000000 0.0000000000 + m = 1.10656667 + 0.7142857145 m = 1.10656667 + 0.7142857145 Combine like terms: 1.10656667 + 0.7142857145 = 1.8208523845 m = 1.8208523845 Simplifying m = 1.8208523845Subproblem 2
m + -0.7142857145 = -1.10656667 Simplifying m + -0.7142857145 = -1.10656667 Reorder the terms: -0.7142857145 + m = -1.10656667 Solving -0.7142857145 + m = -1.10656667 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.7142857145' to each side of the equation. -0.7142857145 + 0.7142857145 + m = -1.10656667 + 0.7142857145 Combine like terms: -0.7142857145 + 0.7142857145 = 0.0000000000 0.0000000000 + m = -1.10656667 + 0.7142857145 m = -1.10656667 + 0.7142857145 Combine like terms: -1.10656667 + 0.7142857145 = -0.3922809555 m = -0.3922809555 Simplifying m = -0.3922809555Solution
The solution to the problem is based on the solutions from the subproblems. m = {1.8208523845, -0.3922809555}
| 6x-10y=40 | | 12x-6y=72 | | x^2+1.5x-2.5=0 | | 0=-6x+1 | | 3x^2+8y^2-72=0 | | 7(4+k)=98 | | 6+3(5y-9)=-4(-2y+1)+6 | | 52=4b+8 | | -5x^2-7x=7 | | x*x-13x+12=0 | | 60=-3(-8+b) | | -3x^2-5x=11 | | 84=7x-7 | | -3.2d+7.5d=-25.37 | | 8x-22=3x+43 | | -126=7(p-7) | | 3x^2-3x=-1 | | -4-4x=-8 | | -1-6x=-31 | | 1/8-6/8= | | 7(-6+n)=-182 | | y-12=-3y-20 | | 0.75(12+4a)=21 | | 7n=23 | | -5x+7=-6x-21 | | 9x+12=54+6x | | 5y-15x=6x | | 2x-(63)=.5x | | m=8+3m | | 8x+4-2x+6=16 | | c-4=78 | | -42=-3z+6 |