If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + -13x + 17 = 0 Reorder the terms: 17 + -13x + 2x2 = 0 Solving 17 + -13x + 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'. 8.5 + -6.5x + x2 = 0 Move the constant term to the right: Add '-8.5' to each side of the equation. 8.5 + -6.5x + -8.5 + x2 = 0 + -8.5 Reorder the terms: 8.5 + -8.5 + -6.5x + x2 = 0 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + -6.5x + x2 = 0 + -8.5 -6.5x + x2 = 0 + -8.5 Combine like terms: 0 + -8.5 = -8.5 -6.5x + x2 = -8.5 The x term is -6.5x. Take half its coefficient (-3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. -6.5x + 10.5625 + x2 = -8.5 + 10.5625 Reorder the terms: 10.5625 + -6.5x + x2 = -8.5 + 10.5625 Combine like terms: -8.5 + 10.5625 = 2.0625 10.5625 + -6.5x + x2 = 2.0625 Factor a perfect square on the left side: (x + -3.25)(x + -3.25) = 2.0625 Calculate the square root of the right side: 1.436140662 Break this problem into two subproblems by setting (x + -3.25) equal to 1.436140662 and -1.436140662.Subproblem 1
x + -3.25 = 1.436140662 Simplifying x + -3.25 = 1.436140662 Reorder the terms: -3.25 + x = 1.436140662 Solving -3.25 + x = 1.436140662 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.25' to each side of the equation. -3.25 + 3.25 + x = 1.436140662 + 3.25 Combine like terms: -3.25 + 3.25 = 0.00 0.00 + x = 1.436140662 + 3.25 x = 1.436140662 + 3.25 Combine like terms: 1.436140662 + 3.25 = 4.686140662 x = 4.686140662 Simplifying x = 4.686140662Subproblem 2
x + -3.25 = -1.436140662 Simplifying x + -3.25 = -1.436140662 Reorder the terms: -3.25 + x = -1.436140662 Solving -3.25 + x = -1.436140662 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.25' to each side of the equation. -3.25 + 3.25 + x = -1.436140662 + 3.25 Combine like terms: -3.25 + 3.25 = 0.00 0.00 + x = -1.436140662 + 3.25 x = -1.436140662 + 3.25 Combine like terms: -1.436140662 + 3.25 = 1.813859338 x = 1.813859338 Simplifying x = 1.813859338Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.686140662, 1.813859338}
| 36x^2-75x+36=0 | | -24x(x-4)=0 | | x^2-2x+y^2=3 | | 9x-61=23+2x | | 11.4-3=12+x | | 4x+6y=3 | | -76+8x=-x+122 | | 7-3(2x-5)=3x+10 | | 9x=27x+1 | | 9x=27x | | y=-.60(55)+112 | | y=-.60(45)+112 | | y=-.60(35)+112 | | y=-.60(25)+112 | | 25x+5y-25=0 | | (7n+7)(3n-6)= | | 27x-3+28x-2=100 | | 5x(x-4)-17=4(x-1) | | -4-26=12-6x | | 38x-1+54x-1+51x-2+78=360 | | 11n-7=37 | | 2x+4=x-84 | | n+14=41 | | 36-9-29= | | n+14=14 | | 4x+9+7x+21=162 | | 2x+8y=96 | | 7m^2=m+5 | | 8x-(3x-5)=14 | | 5x-4=4x+5 | | 20-2.5x=-10+2.5x | | x^2-8x-24=0 |