If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5x2 + 12x + 36 = 16x2 + 24x + 9 Reorder the terms: 36 + 12x + 5x2 = 16x2 + 24x + 9 Reorder the terms: 36 + 12x + 5x2 = 9 + 24x + 16x2 Solving 36 + 12x + 5x2 = 9 + 24x + 16x2 Solving for variable 'x'. Reorder the terms: 36 + -9 + 12x + -24x + 5x2 + -16x2 = 9 + 24x + 16x2 + -9 + -24x + -16x2 Combine like terms: 36 + -9 = 27 27 + 12x + -24x + 5x2 + -16x2 = 9 + 24x + 16x2 + -9 + -24x + -16x2 Combine like terms: 12x + -24x = -12x 27 + -12x + 5x2 + -16x2 = 9 + 24x + 16x2 + -9 + -24x + -16x2 Combine like terms: 5x2 + -16x2 = -11x2 27 + -12x + -11x2 = 9 + 24x + 16x2 + -9 + -24x + -16x2 Reorder the terms: 27 + -12x + -11x2 = 9 + -9 + 24x + -24x + 16x2 + -16x2 Combine like terms: 9 + -9 = 0 27 + -12x + -11x2 = 0 + 24x + -24x + 16x2 + -16x2 27 + -12x + -11x2 = 24x + -24x + 16x2 + -16x2 Combine like terms: 24x + -24x = 0 27 + -12x + -11x2 = 0 + 16x2 + -16x2 27 + -12x + -11x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 27 + -12x + -11x2 = 0 Begin completing the square. Divide all terms by -11 the coefficient of the squared term: Divide each side by '-11'. -2.454545455 + 1.090909091x + x2 = 0 Move the constant term to the right: Add '2.454545455' to each side of the equation. -2.454545455 + 1.090909091x + 2.454545455 + x2 = 0 + 2.454545455 Reorder the terms: -2.454545455 + 2.454545455 + 1.090909091x + x2 = 0 + 2.454545455 Combine like terms: -2.454545455 + 2.454545455 = 0.000000000 0.000000000 + 1.090909091x + x2 = 0 + 2.454545455 1.090909091x + x2 = 0 + 2.454545455 Combine like terms: 0 + 2.454545455 = 2.454545455 1.090909091x + x2 = 2.454545455 The x term is 1.090909091x. Take half its coefficient (0.5454545455). Square it (0.2975206612) and add it to both sides. Add '0.2975206612' to each side of the equation. 1.090909091x + 0.2975206612 + x2 = 2.454545455 + 0.2975206612 Reorder the terms: 0.2975206612 + 1.090909091x + x2 = 2.454545455 + 0.2975206612 Combine like terms: 2.454545455 + 0.2975206612 = 2.7520661162 0.2975206612 + 1.090909091x + x2 = 2.7520661162 Factor a perfect square on the left side: (x + 0.5454545455)(x + 0.5454545455) = 2.7520661162 Calculate the square root of the right side: 1.658935236 Break this problem into two subproblems by setting (x + 0.5454545455) equal to 1.658935236 and -1.658935236.Subproblem 1
x + 0.5454545455 = 1.658935236 Simplifying x + 0.5454545455 = 1.658935236 Reorder the terms: 0.5454545455 + x = 1.658935236 Solving 0.5454545455 + x = 1.658935236 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5454545455' to each side of the equation. 0.5454545455 + -0.5454545455 + x = 1.658935236 + -0.5454545455 Combine like terms: 0.5454545455 + -0.5454545455 = 0.0000000000 0.0000000000 + x = 1.658935236 + -0.5454545455 x = 1.658935236 + -0.5454545455 Combine like terms: 1.658935236 + -0.5454545455 = 1.1134806905 x = 1.1134806905 Simplifying x = 1.1134806905Subproblem 2
x + 0.5454545455 = -1.658935236 Simplifying x + 0.5454545455 = -1.658935236 Reorder the terms: 0.5454545455 + x = -1.658935236 Solving 0.5454545455 + x = -1.658935236 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5454545455' to each side of the equation. 0.5454545455 + -0.5454545455 + x = -1.658935236 + -0.5454545455 Combine like terms: 0.5454545455 + -0.5454545455 = 0.0000000000 0.0000000000 + x = -1.658935236 + -0.5454545455 x = -1.658935236 + -0.5454545455 Combine like terms: -1.658935236 + -0.5454545455 = -2.2043897815 x = -2.2043897815 Simplifying x = -2.2043897815Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.1134806905, -2.2043897815}
| 8x-5x+20=59 | | 8x-4+x=77 | | 1/4t-1/6 | | 40x^2+80x-320=0 | | 6y=35 | | 3/8(14-u)=-3u+6 | | 4/5b+2=-1/5b+3 | | n^2=77 | | (4,91+x)/2=4 | | -11x^2-12x+27=0 | | 3/4c-1/2=5/8c | | 3/4*8= | | (x+24)(x+32)=1174.25 | | 1/2*16= | | 7.5a+12=6 | | 2/3y+2=10 | | -33.3t+16t^2=0 | | 5*2/3= | | 3y+=27 | | 6-2x=14+x | | -a^2+3a+4= | | 11x^2-12x+27=0 | | 91-2x=10-8x | | 4(2x-8)=3(2x-6) | | 3(x+4)=9x+6 | | 3/5x+7/2x=1 | | 11x^2+36x+45=0 | | 13y=2 | | .36x+16=4 | | log[5](9x-4)=1 | | 2(3-x)=14+x | | 4(2x-3)=2(x-9) |