If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 17x + 10 = 0 Reorder the terms: 10 + 17x + 2x2 = 0 Solving 10 + 17x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 5 + 8.5x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + 8.5x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 8.5x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8.5x + x2 = 0 + -5 8.5x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 8.5x + x2 = -5 The x term is 8.5x. Take half its coefficient (4.25). Square it (18.0625) and add it to both sides. Add '18.0625' to each side of the equation. 8.5x + 18.0625 + x2 = -5 + 18.0625 Reorder the terms: 18.0625 + 8.5x + x2 = -5 + 18.0625 Combine like terms: -5 + 18.0625 = 13.0625 18.0625 + 8.5x + x2 = 13.0625 Factor a perfect square on the left side: (x + 4.25)(x + 4.25) = 13.0625 Calculate the square root of the right side: 3.614208074 Break this problem into two subproblems by setting (x + 4.25) equal to 3.614208074 and -3.614208074.Subproblem 1
x + 4.25 = 3.614208074 Simplifying x + 4.25 = 3.614208074 Reorder the terms: 4.25 + x = 3.614208074 Solving 4.25 + x = 3.614208074 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.25' to each side of the equation. 4.25 + -4.25 + x = 3.614208074 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + x = 3.614208074 + -4.25 x = 3.614208074 + -4.25 Combine like terms: 3.614208074 + -4.25 = -0.635791926 x = -0.635791926 Simplifying x = -0.635791926Subproblem 2
x + 4.25 = -3.614208074 Simplifying x + 4.25 = -3.614208074 Reorder the terms: 4.25 + x = -3.614208074 Solving 4.25 + x = -3.614208074 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.25' to each side of the equation. 4.25 + -4.25 + x = -3.614208074 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + x = -3.614208074 + -4.25 x = -3.614208074 + -4.25 Combine like terms: -3.614208074 + -4.25 = -7.864208074 x = -7.864208074 Simplifying x = -7.864208074Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.635791926, -7.864208074}
| -12=-12a | | 25x+15=24x+10 | | 2x+1/x-4=6 | | -q/5=30 | | 12-7x=2(18-9+3) | | 12-5x=2(18-9+2) | | 7+3x=6x-3 | | 7(x^3+x^2-4)=7x^3+8 | | 16-9x^2y^2=0 | | 8x+3/5=3x+9/3 | | 9/5x=21 | | 4x*9/7=0 | | 10r^2s^2+9rst+2t^2=0 | | -6q=-5q+7 | | 2ab(5a-7b)= | | x/2-x/3=5/6 | | 7(x^2-4)+2x=2(x-4) | | 8x^3+20x^3+12x=0 | | u^2-10u+25= | | 2-3h=10-5h | | 10-6t=-8-9t | | 8-8x=1-3x | | 4=-v+v/-8 | | -7-5u=-7u+9 | | 4a^2-9a+2=0 | | 9+3g=4g | | 6y+5=4y-9 | | -4-9=-2 | | 5(6x-5)=1-1x | | -5n=5-10n | | 4b+10=-10+2b | | -5w-10=3w+6 |