If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 67 = 10 + 0.1x + 0.0003x2 Solving 67 = 10 + 0.1x + 0.0003x2 Solving for variable 'x'. Combine like terms: 67 + -10 = 57 57 + -0.1x + -0.0003x2 = 10 + 0.1x + 0.0003x2 + -10 + -0.1x + -0.0003x2 Reorder the terms: 57 + -0.1x + -0.0003x2 = 10 + -10 + 0.1x + -0.1x + 0.0003x2 + -0.0003x2 Combine like terms: 10 + -10 = 0 57 + -0.1x + -0.0003x2 = 0 + 0.1x + -0.1x + 0.0003x2 + -0.0003x2 57 + -0.1x + -0.0003x2 = 0.1x + -0.1x + 0.0003x2 + -0.0003x2 Combine like terms: 0.1x + -0.1x = 0.0 57 + -0.1x + -0.0003x2 = 0.0 + 0.0003x2 + -0.0003x2 57 + -0.1x + -0.0003x2 = 0.0003x2 + -0.0003x2 Combine like terms: 0.0003x2 + -0.0003x2 = 0.0000 57 + -0.1x + -0.0003x2 = 0.0000 Begin completing the square. Divide all terms by -0.0003 the coefficient of the squared term: Divide each side by '-0.0003'. -190000 + 333.3333333x + x2 = 0 Move the constant term to the right: Add '190000' to each side of the equation. -190000 + 333.3333333x + 190000 + x2 = 0 + 190000 Reorder the terms: -190000 + 190000 + 333.3333333x + x2 = 0 + 190000 Combine like terms: -190000 + 190000 = 0 0 + 333.3333333x + x2 = 0 + 190000 333.3333333x + x2 = 0 + 190000 Combine like terms: 0 + 190000 = 190000 333.3333333x + x2 = 190000 The x term is 333.3333333x. Take half its coefficient (166.6666667). Square it (27777.77779) and add it to both sides. Add '27777.77779' to each side of the equation. 333.3333333x + 27777.77779 + x2 = 190000 + 27777.77779 Reorder the terms: 27777.77779 + 333.3333333x + x2 = 190000 + 27777.77779 Combine like terms: 190000 + 27777.77779 = 217777.77779 27777.77779 + 333.3333333x + x2 = 217777.77779 Factor a perfect square on the left side: (x + 166.6666667)(x + 166.6666667) = 217777.77779 Calculate the square root of the right side: 466.66666668 Break this problem into two subproblems by setting (x + 166.6666667) equal to 466.66666668 and -466.66666668.Subproblem 1
x + 166.6666667 = 466.66666668 Simplifying x + 166.6666667 = 466.66666668 Reorder the terms: 166.6666667 + x = 466.66666668 Solving 166.6666667 + x = 466.66666668 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-166.6666667' to each side of the equation. 166.6666667 + -166.6666667 + x = 466.66666668 + -166.6666667 Combine like terms: 166.6666667 + -166.6666667 = 0.0000000 0.0000000 + x = 466.66666668 + -166.6666667 x = 466.66666668 + -166.6666667 Combine like terms: 466.66666668 + -166.6666667 = 299.99999998 x = 299.99999998 Simplifying x = 299.99999998Subproblem 2
x + 166.6666667 = -466.66666668 Simplifying x + 166.6666667 = -466.66666668 Reorder the terms: 166.6666667 + x = -466.66666668 Solving 166.6666667 + x = -466.66666668 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-166.6666667' to each side of the equation. 166.6666667 + -166.6666667 + x = -466.66666668 + -166.6666667 Combine like terms: 166.6666667 + -166.6666667 = 0.0000000 0.0000000 + x = -466.66666668 + -166.6666667 x = -466.66666668 + -166.6666667 Combine like terms: -466.66666668 + -166.6666667 = -633.33333338 x = -633.33333338 Simplifying x = -633.33333338Solution
The solution to the problem is based on the solutions from the subproblems. x = {299.99999998, -633.33333338}
| 10w=-30 | | (t+8)=-6 | | -4x-4(-6x-8)=172 | | 6(3m-2)=18m | | 8x+2-(5+x)=-10 | | 2p-5+3p=-9 | | cos*4*x(cos*x-1)=0 | | 3x-8y+36=0 | | 2(x-1)+6x=4 | | f+15=93 | | 2(x-9)+5+7x=1 | | 1/3(x-2) | | 1/5(x-10)=3 | | 51+78+x=180 | | 10x=0.785 | | 7x(-2)+6x=3 | | -29.79=b-20.51 | | -5/6r=-25/36 | | 1/125=25x-1 | | e^3x+4=1 | | 3x+14+84=180 | | W/6=-8 | | 4y-1+y+41=5y+40-2y | | 60=v-13 | | d-1.5=1.5 | | 27x=3x | | 6+2x-4=8x+9-5x | | -19.6=p-12.5 | | 4x+2x+x=22 | | B=zs+s | | 5x+3X=8x+60 | | 5x-4=10x-24 |