If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 18x + -202 = 0 Reorder the terms: -202 + 18x + 2x2 = 0 Solving -202 + 18x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-101 + 9x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-101 + 9x + x2)' equal to zero and attempt to solve: Simplifying -101 + 9x + x2 = 0 Solving -101 + 9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '101' to each side of the equation. -101 + 9x + 101 + x2 = 0 + 101 Reorder the terms: -101 + 101 + 9x + x2 = 0 + 101 Combine like terms: -101 + 101 = 0 0 + 9x + x2 = 0 + 101 9x + x2 = 0 + 101 Combine like terms: 0 + 101 = 101 9x + x2 = 101 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = 101 + 20.25 Reorder the terms: 20.25 + 9x + x2 = 101 + 20.25 Combine like terms: 101 + 20.25 = 121.25 20.25 + 9x + x2 = 121.25 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = 121.25 Calculate the square root of the right side: 11.011357773 Break this problem into two subproblems by setting (x + 4.5) equal to 11.011357773 and -11.011357773.Subproblem 1
x + 4.5 = 11.011357773 Simplifying x + 4.5 = 11.011357773 Reorder the terms: 4.5 + x = 11.011357773 Solving 4.5 + x = 11.011357773 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = 11.011357773 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = 11.011357773 + -4.5 x = 11.011357773 + -4.5 Combine like terms: 11.011357773 + -4.5 = 6.511357773 x = 6.511357773 Simplifying x = 6.511357773Subproblem 2
x + 4.5 = -11.011357773 Simplifying x + 4.5 = -11.011357773 Reorder the terms: 4.5 + x = -11.011357773 Solving 4.5 + x = -11.011357773 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = -11.011357773 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = -11.011357773 + -4.5 x = -11.011357773 + -4.5 Combine like terms: -11.011357773 + -4.5 = -15.511357773 x = -15.511357773 Simplifying x = -15.511357773Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.511357773, -15.511357773}Solution
x = {6.511357773, -15.511357773}
| 7x+12y=175 | | 8a+4-17=0 | | 16-25x+3=1-18x+20x-8x | | 6x+3x-11=x+5 | | (258)1/2 | | 3x-5(-2x+3)-8=12-(3x+5) | | 1-2sin^2x-sinx+4=0 | | 345b+85=72b+66 | | -13+5t=17 | | (4+w)(w-2)=A | | 148-w=236 | | 8+3y=8 | | x=-2y+8 | | 6y+24=3x | | f(x)=3x^2+2x-5 | | (6.4x10)^8/(8x10)^2 | | z^4-4z^3+6z^2-4z=-1+16i | | 9x-1=-18 | | 2x^2+4xy-3Y=xy | | 6-3+4x+1=5x+87 | | 6-3+4x+1=0x+2 | | 6-3+4x+1=0x+4 | | 6-3+4x+1=1x+0 | | 2w-6(w-2)=8(w-2) | | 2x(x-1)=2-x | | 6-3+4x+1=7x+0 | | 0.25y+7.5=-1.5 | | 6-3+4x+1=7x+49 | | 6-3+4x+1=0x+0 | | 6-3+4x+1=2x+6 | | 4z/7-5=8 | | 6-3+4x+1=3x+6 |