If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3x2 + -21x) = 16 Reorder the terms: (-21x + 3x2) = 16 Remove parenthesis around (-21x + 3x2) -21x + 3x2 = 16 Solving -21x + 3x2 = 16 Solving for variable 'x'. Reorder the terms: -16 + -21x + 3x2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + -21x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -5.333333333 + -7x + x2 = 0 Move the constant term to the right: Add '5.333333333' to each side of the equation. -5.333333333 + -7x + 5.333333333 + x2 = 0 + 5.333333333 Reorder the terms: -5.333333333 + 5.333333333 + -7x + x2 = 0 + 5.333333333 Combine like terms: -5.333333333 + 5.333333333 = 0.000000000 0.000000000 + -7x + x2 = 0 + 5.333333333 -7x + x2 = 0 + 5.333333333 Combine like terms: 0 + 5.333333333 = 5.333333333 -7x + x2 = 5.333333333 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = 5.333333333 + 12.25 Reorder the terms: 12.25 + -7x + x2 = 5.333333333 + 12.25 Combine like terms: 5.333333333 + 12.25 = 17.583333333 12.25 + -7x + x2 = 17.583333333 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = 17.583333333 Calculate the square root of the right side: 4.193248542 Break this problem into two subproblems by setting (x + -3.5) equal to 4.193248542 and -4.193248542.Subproblem 1
x + -3.5 = 4.193248542 Simplifying x + -3.5 = 4.193248542 Reorder the terms: -3.5 + x = 4.193248542 Solving -3.5 + x = 4.193248542 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + x = 4.193248542 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x = 4.193248542 + 3.5 x = 4.193248542 + 3.5 Combine like terms: 4.193248542 + 3.5 = 7.693248542 x = 7.693248542 Simplifying x = 7.693248542Subproblem 2
x + -3.5 = -4.193248542 Simplifying x + -3.5 = -4.193248542 Reorder the terms: -3.5 + x = -4.193248542 Solving -3.5 + x = -4.193248542 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + x = -4.193248542 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x = -4.193248542 + 3.5 x = -4.193248542 + 3.5 Combine like terms: -4.193248542 + 3.5 = -0.693248542 x = -0.693248542 Simplifying x = -0.693248542Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.693248542, -0.693248542}
| x^2+3-x=5 | | 5x-7+15x=15x+14 | | 6(x-3)=8(x-2)-4x | | 15x-9=3x+5 | | z^2-(2+i)z+(3+i)=0 | | -2*y+3=20 | | -2(s+-36)+8=44 | | 1.50h+19.00=2.75h+17.00 | | 12-3x-2x= | | (p)(p)(p)-(2p)+(2p)(2p)(2p)=0 | | 7x+3+9x=67 | | 12(r+18)+10=-50 | | 7x+7x=680 | | y=1.50h+19 | | 10x+.5y=300 | | 14x-18=24x+2 | | 4x+4=9*x-36 | | -5(r+48)+-11=-11 | | -4.9x^2+12.25x+0=7.35 | | 8x+2+4x-3x+5=34 | | 5*h-9=-16+6h | | -2(x+-42)+6=40 | | -4.9x^2+19.6x+0=7.35 | | 4x-6+8=18 | | -5(v+2)+2v+6=8v+12 | | (3x-4)=2(x+7) | | 7x+10=-6 | | (3x+6)=(x+20) | | -2(p+-13)+-11=33 | | 5w^4=-1080w | | 2x^2=504 | | 2log(x+5)=log(x+7) |