If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + -21x + 8 = 0 Reorder the terms: 8 + -21x + 6x2 = 0 Solving 8 + -21x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.333333333 + -3.5x + x2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + -3.5x + -1.333333333 + x2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + -3.5x + x2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + -3.5x + x2 = 0 + -1.333333333 -3.5x + x2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 -3.5x + x2 = -1.333333333 The x term is -3.5x. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5x + 3.0625 + x2 = -1.333333333 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -1.333333333 + 3.0625 Combine like terms: -1.333333333 + 3.0625 = 1.729166667 3.0625 + -3.5x + x2 = 1.729166667 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = 1.729166667 Calculate the square root of the right side: 1.31497782 Break this problem into two subproblems by setting (x + -1.75) equal to 1.31497782 and -1.31497782.Subproblem 1
x + -1.75 = 1.31497782 Simplifying x + -1.75 = 1.31497782 Reorder the terms: -1.75 + x = 1.31497782 Solving -1.75 + x = 1.31497782 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + x = 1.31497782 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + x = 1.31497782 + 1.75 x = 1.31497782 + 1.75 Combine like terms: 1.31497782 + 1.75 = 3.06497782 x = 3.06497782 Simplifying x = 3.06497782Subproblem 2
x + -1.75 = -1.31497782 Simplifying x + -1.75 = -1.31497782 Reorder the terms: -1.75 + x = -1.31497782 Solving -1.75 + x = -1.31497782 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + x = -1.31497782 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + x = -1.31497782 + 1.75 x = -1.31497782 + 1.75 Combine like terms: -1.31497782 + 1.75 = 0.43502218 x = 0.43502218 Simplifying x = 0.43502218Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.06497782, 0.43502218}
| u^2+7u-44=0 | | 3x-5=8x+3 | | 30t=1 | | x+29=x+20 | | 2x+34=x+32 | | y+87=125 | | 21x-9-15x+2=21x-8-15x+13 | | 40.65c=5.10 | | n^2-3n+28=0 | | 40.65=5.10 | | x^3+3x^2-9x+15=0 | | 0.7x=4.34 | | 9x+15=69 | | 2x+3(x+1.5)=12 | | 55(285-10e)= | | 3(x-y)+2y-x= | | h=4.9t^2-30t+40 | | 2x^4+x^3+16x+8=0 | | 88s=528 | | 2x^3=77 | | 11x-138-3x=54 | | 6y-10(5y+7)=10 | | 61x^2-12x+1=0 | | 2x^3+88=77 | | 16(3r+6)=-8(8r+12) | | 4n^2=308 | | 6.50x+40x=314 | | 4c+5=68.96 | | 2-(x+1)=-2 | | 2x+4x-85=59 | | 7x+7=5x+3x | | 7x+7=5x+7x |