If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 18d2 + -89d = -84 Reorder the terms: -89d + 18d2 = -84 Solving -89d + 18d2 = -84 Solving for variable 'd'. Reorder the terms: 84 + -89d + 18d2 = -84 + 84 Combine like terms: -84 + 84 = 0 84 + -89d + 18d2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 4.666666667 + -4.944444444d + d2 = 0 Move the constant term to the right: Add '-4.666666667' to each side of the equation. 4.666666667 + -4.944444444d + -4.666666667 + d2 = 0 + -4.666666667 Reorder the terms: 4.666666667 + -4.666666667 + -4.944444444d + d2 = 0 + -4.666666667 Combine like terms: 4.666666667 + -4.666666667 = 0.000000000 0.000000000 + -4.944444444d + d2 = 0 + -4.666666667 -4.944444444d + d2 = 0 + -4.666666667 Combine like terms: 0 + -4.666666667 = -4.666666667 -4.944444444d + d2 = -4.666666667 The d term is -4.944444444d. Take half its coefficient (-2.472222222). Square it (6.111882715) and add it to both sides. Add '6.111882715' to each side of the equation. -4.944444444d + 6.111882715 + d2 = -4.666666667 + 6.111882715 Reorder the terms: 6.111882715 + -4.944444444d + d2 = -4.666666667 + 6.111882715 Combine like terms: -4.666666667 + 6.111882715 = 1.445216048 6.111882715 + -4.944444444d + d2 = 1.445216048 Factor a perfect square on the left side: (d + -2.472222222)(d + -2.472222222) = 1.445216048 Calculate the square root of the right side: 1.202171389 Break this problem into two subproblems by setting (d + -2.472222222) equal to 1.202171389 and -1.202171389.Subproblem 1
d + -2.472222222 = 1.202171389 Simplifying d + -2.472222222 = 1.202171389 Reorder the terms: -2.472222222 + d = 1.202171389 Solving -2.472222222 + d = 1.202171389 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2.472222222' to each side of the equation. -2.472222222 + 2.472222222 + d = 1.202171389 + 2.472222222 Combine like terms: -2.472222222 + 2.472222222 = 0.000000000 0.000000000 + d = 1.202171389 + 2.472222222 d = 1.202171389 + 2.472222222 Combine like terms: 1.202171389 + 2.472222222 = 3.674393611 d = 3.674393611 Simplifying d = 3.674393611Subproblem 2
d + -2.472222222 = -1.202171389 Simplifying d + -2.472222222 = -1.202171389 Reorder the terms: -2.472222222 + d = -1.202171389 Solving -2.472222222 + d = -1.202171389 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2.472222222' to each side of the equation. -2.472222222 + 2.472222222 + d = -1.202171389 + 2.472222222 Combine like terms: -2.472222222 + 2.472222222 = 0.000000000 0.000000000 + d = -1.202171389 + 2.472222222 d = -1.202171389 + 2.472222222 Combine like terms: -1.202171389 + 2.472222222 = 1.270050833 d = 1.270050833 Simplifying d = 1.270050833Solution
The solution to the problem is based on the solutions from the subproblems. d = {3.674393611, 1.270050833}
| 7x+4=11x-12 | | y^2-4x^2=20 | | 3(1.7x+12)=46.2 | | ax+2bx+ay+2by= | | 6-9y=16-3y | | 2.6x+17=-9 | | -(3-x)+4=20 | | 75.89+0.12t=0.36t+27.41 | | 13=-4+z | | c-4=-3*b+a*c | | 7x+x=128 | | 10a-4b=9 | | 3(x-4)+24-3x=12 | | -10+9(4v-5)= | | -3*b+a*c=c-4 | | 2=ln(x+7) | | -3n+1=-3n+6 | | 12-4m=-3+m | | -2t-7t-3=12 | | a^3-8a^2+15a= | | 9a+2ab+a-ba-4a= | | (4+3i)-(7-2i)=0 | | -2(x+6)=3x-8 | | H(x)=40 | | -2(y-4)=3y-2 | | 2x-12=3x-8 | | (x-10)(x+10)=100 | | 5x-3x+2=8x-4 | | 6x-48=5x | | 5=x+3-(3x) | | -27=4x-17 | | -(8x-4)-(5x-6)+7=-12(x-1)-(4x+13)+3 |