If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (m + 7)(3m + -5) + -10 = 0 Reorder the terms: (7 + m)(3m + -5) + -10 = 0 Reorder the terms: (7 + m)(-5 + 3m) + -10 = 0 Multiply (7 + m) * (-5 + 3m) (7(-5 + 3m) + m(-5 + 3m)) + -10 = 0 ((-5 * 7 + 3m * 7) + m(-5 + 3m)) + -10 = 0 ((-35 + 21m) + m(-5 + 3m)) + -10 = 0 (-35 + 21m + (-5 * m + 3m * m)) + -10 = 0 (-35 + 21m + (-5m + 3m2)) + -10 = 0 Combine like terms: 21m + -5m = 16m (-35 + 16m + 3m2) + -10 = 0 Reorder the terms: -35 + -10 + 16m + 3m2 = 0 Combine like terms: -35 + -10 = -45 -45 + 16m + 3m2 = 0 Solving -45 + 16m + 3m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -15 + 5.333333333m + m2 = 0 Move the constant term to the right: Add '15' to each side of the equation. -15 + 5.333333333m + 15 + m2 = 0 + 15 Reorder the terms: -15 + 15 + 5.333333333m + m2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 5.333333333m + m2 = 0 + 15 5.333333333m + m2 = 0 + 15 Combine like terms: 0 + 15 = 15 5.333333333m + m2 = 15 The m term is 5.333333333m. Take half its coefficient (2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. 5.333333333m + 7.111111113 + m2 = 15 + 7.111111113 Reorder the terms: 7.111111113 + 5.333333333m + m2 = 15 + 7.111111113 Combine like terms: 15 + 7.111111113 = 22.111111113 7.111111113 + 5.333333333m + m2 = 22.111111113 Factor a perfect square on the left side: (m + 2.666666667)(m + 2.666666667) = 22.111111113 Calculate the square root of the right side: 4.702245327 Break this problem into two subproblems by setting (m + 2.666666667) equal to 4.702245327 and -4.702245327.Subproblem 1
m + 2.666666667 = 4.702245327 Simplifying m + 2.666666667 = 4.702245327 Reorder the terms: 2.666666667 + m = 4.702245327 Solving 2.666666667 + m = 4.702245327 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2.666666667' to each side of the equation. 2.666666667 + -2.666666667 + m = 4.702245327 + -2.666666667 Combine like terms: 2.666666667 + -2.666666667 = 0.000000000 0.000000000 + m = 4.702245327 + -2.666666667 m = 4.702245327 + -2.666666667 Combine like terms: 4.702245327 + -2.666666667 = 2.03557866 m = 2.03557866 Simplifying m = 2.03557866Subproblem 2
m + 2.666666667 = -4.702245327 Simplifying m + 2.666666667 = -4.702245327 Reorder the terms: 2.666666667 + m = -4.702245327 Solving 2.666666667 + m = -4.702245327 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2.666666667' to each side of the equation. 2.666666667 + -2.666666667 + m = -4.702245327 + -2.666666667 Combine like terms: 2.666666667 + -2.666666667 = 0.000000000 0.000000000 + m = -4.702245327 + -2.666666667 m = -4.702245327 + -2.666666667 Combine like terms: -4.702245327 + -2.666666667 = -7.368911994 m = -7.368911994 Simplifying m = -7.368911994Solution
The solution to the problem is based on the solutions from the subproblems. m = {2.03557866, -7.368911994}
| T=(rs)+s | | 3*(2X+5)=10-(2X-5) | | x^3+y^3+3xy=0 | | 3x+7[2(3x-4)]=0 | | X+7=28x | | -0.75k=12 | | 0.02(y-2)+0.10y=0.08y-0.3 | | X-7/5=X-3 | | 19.2+0.6+12.4+0.8= | | 18x-85-1(6x-13)=0 | | 2.3+(-6.7)= | | 11x+7-15x-2=0 | | -10u+6u= | | 9(3x-3)=3(3x-9) | | 5-3x-5=50 | | 4x-1=29-2x | | 4(7x-22)=4(4x-7) | | 4sin^4(x)-7sin^2(x)+3=0 | | 0x=440 | | 39+x=20 | | 2n+26=-4(n-2) | | 25*0.8*x=4 | | 2*0.4*x=0.48 | | 9x+3=6-x | | f(w)=-1-3w | | 2/9x-17=-1 | | 3[2x+1]-2=7 | | 4x+3-x=3(x+1)+2 | | 5(1-8r)+4r=5+r | | 6m+5=-8+3m+7m | | 30x+y=800 | | 2x-11=2(x-8) |