If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + -10x = 5x2 + -1 Reorder the terms: -10x + 3x2 = 5x2 + -1 Reorder the terms: -10x + 3x2 = -1 + 5x2 Solving -10x + 3x2 = -1 + 5x2 Solving for variable 'x'. Reorder the terms: 1 + -10x + 3x2 + -5x2 = -1 + 5x2 + 1 + -5x2 Combine like terms: 3x2 + -5x2 = -2x2 1 + -10x + -2x2 = -1 + 5x2 + 1 + -5x2 Reorder the terms: 1 + -10x + -2x2 = -1 + 1 + 5x2 + -5x2 Combine like terms: -1 + 1 = 0 1 + -10x + -2x2 = 0 + 5x2 + -5x2 1 + -10x + -2x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 1 + -10x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -0.5 + 5x + x2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + 5x + 0.5 + x2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + 5x + x2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 5x + x2 = 0 + 0.5 5x + x2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 5x + x2 = 0.5 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = 0.5 + 6.25 Reorder the terms: 6.25 + 5x + x2 = 0.5 + 6.25 Combine like terms: 0.5 + 6.25 = 6.75 6.25 + 5x + x2 = 6.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = 6.75 Calculate the square root of the right side: 2.598076211 Break this problem into two subproblems by setting (x + 2.5) equal to 2.598076211 and -2.598076211.Subproblem 1
x + 2.5 = 2.598076211 Simplifying x + 2.5 = 2.598076211 Reorder the terms: 2.5 + x = 2.598076211 Solving 2.5 + x = 2.598076211 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = 2.598076211 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = 2.598076211 + -2.5 x = 2.598076211 + -2.5 Combine like terms: 2.598076211 + -2.5 = 0.098076211 x = 0.098076211 Simplifying x = 0.098076211Subproblem 2
x + 2.5 = -2.598076211 Simplifying x + 2.5 = -2.598076211 Reorder the terms: 2.5 + x = -2.598076211 Solving 2.5 + x = -2.598076211 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = -2.598076211 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = -2.598076211 + -2.5 x = -2.598076211 + -2.5 Combine like terms: -2.598076211 + -2.5 = -5.098076211 x = -5.098076211 Simplifying x = -5.098076211Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.098076211, -5.098076211}
| 8=3u-u | | -5x+4y=1 | | 5b-10-6=8+7b-28 | | 3-7x=2-3x | | 8(x)-2(-12)=24 | | 3(6x+9)+10x=1 | | 128+16x-16x^2=0 | | 2x-3+5x=21 | | 6.5(8-x)=(8-x)/2 | | x+3+4x= | | 4(-4x-3)= | | 3-27a+22a=4a-18-15 | | x-6=8-(9+a) | | 5-1/4=12 | | (X+2)-2(4-5x)=6(x+5)-1 | | 42=2l+10 | | 25x+15x+20= | | 600y=3645y | | 9+3y-13= | | 6x-10=3y | | 600=3645 | | 30+3=4x | | (16+2x)-x(-4)= | | 3x-6y+4z=-9 | | 30x+3=4 | | 9.75h+20=78.50 | | -85=5+10x | | 30+3x=4 | | 42=2l*10 | | F(x)=2.4^5/4 | | 42=2l*20 | | X+(-14y)+(-8)+10y= |