If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 9x + -57 = 0 Reorder the terms: -57 + 9x + 2x2 = 0 Solving -57 + 9x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -28.5 + 4.5x + x2 = 0 Move the constant term to the right: Add '28.5' to each side of the equation. -28.5 + 4.5x + 28.5 + x2 = 0 + 28.5 Reorder the terms: -28.5 + 28.5 + 4.5x + x2 = 0 + 28.5 Combine like terms: -28.5 + 28.5 = 0.0 0.0 + 4.5x + x2 = 0 + 28.5 4.5x + x2 = 0 + 28.5 Combine like terms: 0 + 28.5 = 28.5 4.5x + x2 = 28.5 The x term is 4.5x. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5x + 5.0625 + x2 = 28.5 + 5.0625 Reorder the terms: 5.0625 + 4.5x + x2 = 28.5 + 5.0625 Combine like terms: 28.5 + 5.0625 = 33.5625 5.0625 + 4.5x + x2 = 33.5625 Factor a perfect square on the left side: (x + 2.25)(x + 2.25) = 33.5625 Calculate the square root of the right side: 5.793315113 Break this problem into two subproblems by setting (x + 2.25) equal to 5.793315113 and -5.793315113.Subproblem 1
x + 2.25 = 5.793315113 Simplifying x + 2.25 = 5.793315113 Reorder the terms: 2.25 + x = 5.793315113 Solving 2.25 + x = 5.793315113 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x = 5.793315113 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x = 5.793315113 + -2.25 x = 5.793315113 + -2.25 Combine like terms: 5.793315113 + -2.25 = 3.543315113 x = 3.543315113 Simplifying x = 3.543315113Subproblem 2
x + 2.25 = -5.793315113 Simplifying x + 2.25 = -5.793315113 Reorder the terms: 2.25 + x = -5.793315113 Solving 2.25 + x = -5.793315113 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x = -5.793315113 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x = -5.793315113 + -2.25 x = -5.793315113 + -2.25 Combine like terms: -5.793315113 + -2.25 = -8.043315113 x = -8.043315113 Simplifying x = -8.043315113Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.543315113, -8.043315113}
| 29+7m=28+22m | | 3y+4y+6y=20 | | 0=15+5y-7x | | 12+y=15 | | 20x^2-17x=0 | | (t^2)+3t+6=0 | | c(x)=0.2x^2-1.9x+10.582 | | 7(x+3)+7= | | 16m+6=2(5m+21) | | 7(x+6)-(6x-9)=-6 | | 3m+7+5(2m-3)=3(m+3) | | 7(x+6)-(6x-9)=6 | | 1.7(y+8)-(7.2+0.7y)=-4+2 | | -100=-16t^2+45t | | 125m-100m+33600=35875-150m | | 125m-100m+33600=35875-150m | | x^2-5x-84=-x^2-17x-60 | | (x-3)2= | | 175m-125m+47750=50000-20m | | 2n^2-48n+288= | | -12x^2+28x=0 | | x^2-11x-12=-x^2-13x+48 | | 5x-5=x+11 | | -2(3x-4y)= | | d+6(3)=11 | | 2b+7=-36 | | 29m+4=28+13m | | 2+6h=6+3h | | 5(-8-2)+3= | | -4x+2=10 | | 7x+2+6x+8=12x+5 | | 8y+2(y-5)=5(y+1)-2 |