If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + 27x + 35 = 0 Reorder the terms: 35 + 27x + 3x2 = 0 Solving 35 + 27x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 11.66666667 + 9x + x2 = 0 Move the constant term to the right: Add '-11.66666667' to each side of the equation. 11.66666667 + 9x + -11.66666667 + x2 = 0 + -11.66666667 Reorder the terms: 11.66666667 + -11.66666667 + 9x + x2 = 0 + -11.66666667 Combine like terms: 11.66666667 + -11.66666667 = 0.00000000 0.00000000 + 9x + x2 = 0 + -11.66666667 9x + x2 = 0 + -11.66666667 Combine like terms: 0 + -11.66666667 = -11.66666667 9x + x2 = -11.66666667 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = -11.66666667 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -11.66666667 + 20.25 Combine like terms: -11.66666667 + 20.25 = 8.58333333 20.25 + 9x + x2 = 8.58333333 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = 8.58333333 Calculate the square root of the right side: 2.929732638 Break this problem into two subproblems by setting (x + 4.5) equal to 2.929732638 and -2.929732638.Subproblem 1
x + 4.5 = 2.929732638 Simplifying x + 4.5 = 2.929732638 Reorder the terms: 4.5 + x = 2.929732638 Solving 4.5 + x = 2.929732638 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = 2.929732638 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = 2.929732638 + -4.5 x = 2.929732638 + -4.5 Combine like terms: 2.929732638 + -4.5 = -1.570267362 x = -1.570267362 Simplifying x = -1.570267362Subproblem 2
x + 4.5 = -2.929732638 Simplifying x + 4.5 = -2.929732638 Reorder the terms: 4.5 + x = -2.929732638 Solving 4.5 + x = -2.929732638 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = -2.929732638 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = -2.929732638 + -4.5 x = -2.929732638 + -4.5 Combine like terms: -2.929732638 + -4.5 = -7.429732638 x = -7.429732638 Simplifying x = -7.429732638Solution
The solution to the problem is based on the solutions from the subproblems. x = {-1.570267362, -7.429732638}
| n+17=5n-1 | | 71.5-924.7=x | | 5x+3=39-4x | | 13t+6-2t=28 | | 3x1/2r=12 | | 10/x=11/3 | | 7*9.4-(-0.7)=x | | 14in=2x+6 | | (4m^2-9)=0 | | 2m+4=-2 | | -169=-3x+5(4x-10) | | 5/6x-1/3=5/2 | | (A+25)(a+64)=0 | | x^2+10=6x | | v/8=17/11 | | 17m+m^2=-60 | | 6x^2+8=34 | | -4p+13=41 | | x-2(-7.5)=11 | | -4y+6+3y+8=-6 | | 7/17=y/6 | | 7(2y+11)-2y=-13 | | 4(2a-8)=.14(49a+70) | | Y=3c+2p | | 14in=2x-6in | | 4x + 5y = 30 | | 23+12n=40 | | 14in=2x-6 | | 13/5=6/x | | y^2-2/3y+25=81 | | 5n-6=-16 | | 3.5s-42=14t |