If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 500x2 + 1250x + -250 = 0 Reorder the terms: -250 + 1250x + 500x2 = 0 Solving -250 + 1250x + 500x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '250'. 250(-1 + 5x + 2x2) = 0 Ignore the factor 250.Subproblem 1
Set the factor '(-1 + 5x + 2x2)' equal to zero and attempt to solve: Simplifying -1 + 5x + 2x2 = 0 Solving -1 + 5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -0.5 + 2.5x + x2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + 2.5x + 0.5 + x2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + 2.5x + x2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 2.5x + x2 = 0 + 0.5 2.5x + x2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 2.5x + x2 = 0.5 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = 0.5 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = 0.5 + 1.5625 Combine like terms: 0.5 + 1.5625 = 2.0625 1.5625 + 2.5x + x2 = 2.0625 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = 2.0625 Calculate the square root of the right side: 1.436140662 Break this problem into two subproblems by setting (x + 1.25) equal to 1.436140662 and -1.436140662.Subproblem 1
x + 1.25 = 1.436140662 Simplifying x + 1.25 = 1.436140662 Reorder the terms: 1.25 + x = 1.436140662 Solving 1.25 + x = 1.436140662 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = 1.436140662 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = 1.436140662 + -1.25 x = 1.436140662 + -1.25 Combine like terms: 1.436140662 + -1.25 = 0.186140662 x = 0.186140662 Simplifying x = 0.186140662Subproblem 2
x + 1.25 = -1.436140662 Simplifying x + 1.25 = -1.436140662 Reorder the terms: 1.25 + x = -1.436140662 Solving 1.25 + x = -1.436140662 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = -1.436140662 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = -1.436140662 + -1.25 x = -1.436140662 + -1.25 Combine like terms: -1.436140662 + -1.25 = -2.686140662 x = -2.686140662 Simplifying x = -2.686140662Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.186140662, -2.686140662}Solution
x = {0.186140662, -2.686140662}
| 5x-4=31-3x | | 10-x=5-6x | | 2x+32=8y | | x-.90x=56 | | 15+2x=7+3x | | (2x+y)=(10x-4y) | | (2x)+(4x+44)=180 | | 7g-3h=-7 | | 25-8n=-1 | | x^2+2.5x-.5=0 | | 7(-2.6)-3h=-7 | | x*x+8x=180 | | 2u-7=3u | | x-.85x=81 | | 24=-8 | | x^2+2.5-.5=0 | | 2.66d+35=0.83+46 | | -18-m=-4m-9 | | 10+11n=32 | | 44=-5-5x+15 | | -3/2a-10=-1 | | 18y+21+32-20y=5 | | y=-.25x^2-x+16 | | -0.1x+14.6=-0.05x+13.75 | | 36+9x=-36 | | 6x+11+2x=8-5x | | 3n^2=6n+144 | | 5x+3x-3=6x+11 | | 4+2x-12=-16 | | 2(4.1x-8)=-57 | | w+2.8=4.3 | | 4(-8+12)=48-32x |