If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7x2 + 21x + 3 = 0 Reorder the terms: 3 + 21x + 7x2 = 0 Solving 3 + 21x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.4285714286 + 3x + x2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + 3x + -0.4285714286 + x2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + 3x + x2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + 3x + x2 = 0 + -0.4285714286 3x + x2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 3x + x2 = -0.4285714286 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -0.4285714286 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -0.4285714286 + 2.25 Combine like terms: -0.4285714286 + 2.25 = 1.8214285714 2.25 + 3x + x2 = 1.8214285714 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 1.8214285714 Calculate the square root of the right side: 1.349603116 Break this problem into two subproblems by setting (x + 1.5) equal to 1.349603116 and -1.349603116.Subproblem 1
x + 1.5 = 1.349603116 Simplifying x + 1.5 = 1.349603116 Reorder the terms: 1.5 + x = 1.349603116 Solving 1.5 + x = 1.349603116 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 1.349603116 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 1.349603116 + -1.5 x = 1.349603116 + -1.5 Combine like terms: 1.349603116 + -1.5 = -0.150396884 x = -0.150396884 Simplifying x = -0.150396884Subproblem 2
x + 1.5 = -1.349603116 Simplifying x + 1.5 = -1.349603116 Reorder the terms: 1.5 + x = -1.349603116 Solving 1.5 + x = -1.349603116 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -1.349603116 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -1.349603116 + -1.5 x = -1.349603116 + -1.5 Combine like terms: -1.349603116 + -1.5 = -2.849603116 x = -2.849603116 Simplifying x = -2.849603116Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.150396884, -2.849603116}
| -4(2n-5)=-28 | | 15x^2-45x^3=0 | | 1x+1=-4-5 | | -9x+19y=1 | | 5x-8y=2 | | 5x^2-3+6X^2+9+8= | | 36-2=4 | | -6.9(2x+6)-1.2(3x-5)= | | 2(2x-4)-7=6x-11 | | -2=3x-5 | | 4c+11=83 | | n^2=5n+14 | | -3+y=x+6 | | -3+yi=x+6i | | 5(v+4)=8v+17 | | x/8=x/12+1/3 | | d/4 | | 8(-2x-4)+12=-54 | | b+2(9-3b)=3/4(-8b+12) | | 8x+-7=5x+8 | | 5(7x+3)-10x=115 | | -8/24=5/12 | | 6(4-2h)=4(5-5h) | | 9(x+2)-11=88 | | -9(d+2)=4(5+d) | | 5+2(4-x)=-13 | | 4y+10=3y-5 | | 3(7+2w)=1/2(-2-10w) | | -4r+6r+5a-4r= | | 3a+4=a+15 | | z=y-6 | | 4(x+10)=72 |