If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 18x + 5 = 0 Reorder the terms: 5 + 18x + 6x2 = 0 Solving 5 + 18x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.8333333333 + 3x + x2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + 3x + -0.8333333333 + x2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + 3x + x2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + 3x + x2 = 0 + -0.8333333333 3x + x2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 3x + x2 = -0.8333333333 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 = -0.8333333333 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -0.8333333333 + 2.25 Combine like terms: -0.8333333333 + 2.25 = 1.4166666667 2.25 + 3x + x2 = 1.4166666667 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 1.4166666667 Calculate the square root of the right side: 1.190238071 Break this problem into two subproblems by setting (x + 1.5) equal to 1.190238071 and -1.190238071.Subproblem 1
x + 1.5 = 1.190238071 Simplifying x + 1.5 = 1.190238071 Reorder the terms: 1.5 + x = 1.190238071 Solving 1.5 + x = 1.190238071 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 = 1.190238071 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 1.190238071 + -1.5 x = 1.190238071 + -1.5 Combine like terms: 1.190238071 + -1.5 = -0.309761929 x = -0.309761929 Simplifying x = -0.309761929Subproblem 2
x + 1.5 = -1.190238071 Simplifying x + 1.5 = -1.190238071 Reorder the terms: 1.5 + x = -1.190238071 Solving 1.5 + x = -1.190238071 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 = -1.190238071 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -1.190238071 + -1.5 x = -1.190238071 + -1.5 Combine like terms: -1.190238071 + -1.5 = -2.690238071 x = -2.690238071 Simplifying x = -2.690238071Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.309761929, -2.690238071}
| 6y-12=2y+36 | | 6+8x=18+5x | | 0.05*80+0.10x=0.08(80+x) | | 0.03*100+0.06x=0.04(100+x) | | 6X-2Y=-101 | | -2(2x-3)=-22 | | (7x)(2x+27)=180 | | 7=3(x-4)-(x-7) | | 5x^2-7x-10=0 | | 3(2x-6)-5=3(x-2)-5 | | 5x-(8x+2)=8x-13 | | 3(x-1)-5(x-1)=-4(x-2) | | 4(x+2)=6(x-1)-10 | | 25(y+2)=5(4y+5) | | 0.5m+6.4=4.9-.1m | | 9-5x+2=x+13-8x | | 6y-2=15y+16 | | 7x(5x^2-8x+8)= | | -14-6f=34 | | 6x-5=4x+29 | | 15x-18=4(x^2)-4x-48 | | 9x-2=5x-86 | | 3(6+c)=2(c-4) | | 7x+7=4x+43 | | 2-3(3x+1)=6x-9 | | 2x^2=-6x+16 | | 4(4c-1)-18=14c+4 | | 4x^2+22x+10=0 | | 9x-(7x+3)=9 | | 5y-9=24+5y | | [2X-1]=1 | | 10=16x^2+23x+6 |