If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.61x2 + -0.045x + 3 = 1997 Reorder the terms: 3 + -0.045x + 0.61x2 = 1997 Solving 3 + -0.045x + 0.61x2 = 1997 Solving for variable 'x'. Reorder the terms: 3 + -1997 + -0.045x + 0.61x2 = 1997 + -1997 Combine like terms: 3 + -1997 = -1994 -1994 + -0.045x + 0.61x2 = 1997 + -1997 Combine like terms: 1997 + -1997 = 0 -1994 + -0.045x + 0.61x2 = 0 Begin completing the square. Divide all terms by 0.61 the coefficient of the squared term: Divide each side by '0.61'. -3268.852459 + -0.0737704918x + x2 = 0 Move the constant term to the right: Add '3268.852459' to each side of the equation. -3268.852459 + -0.0737704918x + 3268.852459 + x2 = 0 + 3268.852459 Reorder the terms: -3268.852459 + 3268.852459 + -0.0737704918x + x2 = 0 + 3268.852459 Combine like terms: -3268.852459 + 3268.852459 = 0.000000 0.000000 + -0.0737704918x + x2 = 0 + 3268.852459 -0.0737704918x + x2 = 0 + 3268.852459 Combine like terms: 0 + 3268.852459 = 3268.852459 -0.0737704918x + x2 = 3268.852459 The x term is -0.0737704918x. Take half its coefficient (-0.0368852459). Square it (0.001360521365) and add it to both sides. Add '0.001360521365' to each side of the equation. -0.0737704918x + 0.001360521365 + x2 = 3268.852459 + 0.001360521365 Reorder the terms: 0.001360521365 + -0.0737704918x + x2 = 3268.852459 + 0.001360521365 Combine like terms: 3268.852459 + 0.001360521365 = 3268.853819521365 0.001360521365 + -0.0737704918x + x2 = 3268.853819521365 Factor a perfect square on the left side: (x + -0.0368852459)(x + -0.0368852459) = 3268.853819521365 Calculate the square root of the right side: 57.173891065 Break this problem into two subproblems by setting (x + -0.0368852459) equal to 57.173891065 and -57.173891065.Subproblem 1
x + -0.0368852459 = 57.173891065 Simplifying x + -0.0368852459 = 57.173891065 Reorder the terms: -0.0368852459 + x = 57.173891065 Solving -0.0368852459 + x = 57.173891065 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.0368852459' to each side of the equation. -0.0368852459 + 0.0368852459 + x = 57.173891065 + 0.0368852459 Combine like terms: -0.0368852459 + 0.0368852459 = 0.0000000000 0.0000000000 + x = 57.173891065 + 0.0368852459 x = 57.173891065 + 0.0368852459 Combine like terms: 57.173891065 + 0.0368852459 = 57.2107763109 x = 57.2107763109 Simplifying x = 57.2107763109Subproblem 2
x + -0.0368852459 = -57.173891065 Simplifying x + -0.0368852459 = -57.173891065 Reorder the terms: -0.0368852459 + x = -57.173891065 Solving -0.0368852459 + x = -57.173891065 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.0368852459' to each side of the equation. -0.0368852459 + 0.0368852459 + x = -57.173891065 + 0.0368852459 Combine like terms: -0.0368852459 + 0.0368852459 = 0.0000000000 0.0000000000 + x = -57.173891065 + 0.0368852459 x = -57.173891065 + 0.0368852459 Combine like terms: -57.173891065 + 0.0368852459 = -57.1370058191 x = -57.1370058191 Simplifying x = -57.1370058191Solution
The solution to the problem is based on the solutions from the subproblems. x = {57.2107763109, -57.1370058191}
| (40+15).25m=45+.35m | | 9=-3+n+2 | | 88=2x-8+x+15 | | (2x^2+13x+11)-(x^2+8x+5)=(x^2-8x+15) | | 12-3(2n+3)=-3n+3(n+1) | | -4x=3x+2 | | -16t^2-22t+100=0 | | 4/3x+12=7 | | (A+8)-(6a+1)=3-a | | 12/1.33 | | 4(x+2)=-2(x+2)+6 | | -[9x-(2x+6)]=-3[(3x-4)-3x] | | F(x)=2x-89 | | 11x=0.61 | | 5cos(x)-5sin(x)=0 | | 2x+14=104 | | -4x=3/4x-1/4 | | 9.6*6= | | (X-3)-(2x-1)=5x+4 | | 1.6x-(x-2.8)=(0.2x+1.5)-0.7 | | 2(w-6)=w+6 | | -5/2x=1/2x+1/5 | | 5n^2-9n=-9n-6+n^2 | | 3x+1+2x+2y+1=180 | | 7-3(c+1)=2(c-3) | | -8+3x=12+7x | | 16=2w+2(3) | | x+35=20 | | -3m+4=4m-1 | | 3(1+4i)-5i(2-7i)= | | (9x-9)(10x+5)= | | -8/3x+9/2=-7/3x |