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 + 21 = -2 + 9 Reorder the terms: 21 + -21x + 6x2 = -2 + 9 Combine like terms: -2 + 9 = 7 21 + -21x + 6x2 = 7 Solving 21 + -21x + 6x2 = 7 Solving for variable 'x'. Reorder the terms: 21 + -7 + -21x + 6x2 = 7 + -7 Combine like terms: 21 + -7 = 14 14 + -21x + 6x2 = 7 + -7 Combine like terms: 7 + -7 = 0 14 + -21x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2.333333333 + -3.5x + x2 = 0 Move the constant term to the right: Add '-2.333333333' to each side of the equation. 2.333333333 + -3.5x + -2.333333333 + x2 = 0 + -2.333333333 Reorder the terms: 2.333333333 + -2.333333333 + -3.5x + x2 = 0 + -2.333333333 Combine like terms: 2.333333333 + -2.333333333 = 0.000000000 0.000000000 + -3.5x + x2 = 0 + -2.333333333 -3.5x + x2 = 0 + -2.333333333 Combine like terms: 0 + -2.333333333 = -2.333333333 -3.5x + x2 = -2.333333333 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 = -2.333333333 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -2.333333333 + 3.0625 Combine like terms: -2.333333333 + 3.0625 = 0.729166667 3.0625 + -3.5x + x2 = 0.729166667 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = 0.729166667 Calculate the square root of the right side: 0.853912564 Break this problem into two subproblems by setting (x + -1.75) equal to 0.853912564 and -0.853912564.Subproblem 1
x + -1.75 = 0.853912564 Simplifying x + -1.75 = 0.853912564 Reorder the terms: -1.75 + x = 0.853912564 Solving -1.75 + x = 0.853912564 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 = 0.853912564 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + x = 0.853912564 + 1.75 x = 0.853912564 + 1.75 Combine like terms: 0.853912564 + 1.75 = 2.603912564 x = 2.603912564 Simplifying x = 2.603912564Subproblem 2
x + -1.75 = -0.853912564 Simplifying x + -1.75 = -0.853912564 Reorder the terms: -1.75 + x = -0.853912564 Solving -1.75 + x = -0.853912564 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 = -0.853912564 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + x = -0.853912564 + 1.75 x = -0.853912564 + 1.75 Combine like terms: -0.853912564 + 1.75 = 0.896087436 x = 0.896087436 Simplifying x = 0.896087436Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.603912564, 0.896087436}
| 4x-3x-3=x | | 6(b-1)=7b+13 | | -(-x-7)=-9-x | | 2x+5=3-4x | | 3/4w=12 | | 5x+16=47 | | -5/4(x+8)+1/4x=-8 | | 13c-9c= | | x^2+2x-17=9x+1 | | (-3)(-3-3x)=-x-2 | | 8a-a-a= | | -8(z+2)=-9z | | 6.5x-1.32=3.9-2.2x | | 7(5x-7)-x=3x-7 | | 2x-4x+3=-6x-9 | | 2x^2+140x-24000=0 | | -3x(5-2)=-3x+7 | | 9x^2-62x+48=0 | | x^2+9x=-2076 | | 4(n+2)=10 | | -4(w+3)-(4w-7)=-9w | | 16*8+10/2 | | 3x(7-5)=5x-7 | | 3+7y=15 | | -8(n-9)-(3+3n)=-12n | | 8-5x=-11 | | 5/3+2/3x=43/18+7/6x+1/6 | | 5x+12=60-7x | | 4(2n-7)=60 | | 14z-4(z+2)=2(z-2)+3(z-8) | | (4x-5)x^2=225 | | 13-2/5t=6 |