If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 11a2 + -32a + 7 = 20 Reorder the terms: 7 + -32a + 11a2 = 20 Solving 7 + -32a + 11a2 = 20 Solving for variable 'a'. Reorder the terms: 7 + -20 + -32a + 11a2 = 20 + -20 Combine like terms: 7 + -20 = -13 -13 + -32a + 11a2 = 20 + -20 Combine like terms: 20 + -20 = 0 -13 + -32a + 11a2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. -1.181818182 + -2.909090909a + a2 = 0 Move the constant term to the right: Add '1.181818182' to each side of the equation. -1.181818182 + -2.909090909a + 1.181818182 + a2 = 0 + 1.181818182 Reorder the terms: -1.181818182 + 1.181818182 + -2.909090909a + a2 = 0 + 1.181818182 Combine like terms: -1.181818182 + 1.181818182 = 0.000000000 0.000000000 + -2.909090909a + a2 = 0 + 1.181818182 -2.909090909a + a2 = 0 + 1.181818182 Combine like terms: 0 + 1.181818182 = 1.181818182 -2.909090909a + a2 = 1.181818182 The a term is -2.909090909a. Take half its coefficient (-1.454545455). Square it (2.115702481) and add it to both sides. Add '2.115702481' to each side of the equation. -2.909090909a + 2.115702481 + a2 = 1.181818182 + 2.115702481 Reorder the terms: 2.115702481 + -2.909090909a + a2 = 1.181818182 + 2.115702481 Combine like terms: 1.181818182 + 2.115702481 = 3.297520663 2.115702481 + -2.909090909a + a2 = 3.297520663 Factor a perfect square on the left side: (a + -1.454545455)(a + -1.454545455) = 3.297520663 Calculate the square root of the right side: 1.815907669 Break this problem into two subproblems by setting (a + -1.454545455) equal to 1.815907669 and -1.815907669.Subproblem 1
a + -1.454545455 = 1.815907669 Simplifying a + -1.454545455 = 1.815907669 Reorder the terms: -1.454545455 + a = 1.815907669 Solving -1.454545455 + a = 1.815907669 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.454545455' to each side of the equation. -1.454545455 + 1.454545455 + a = 1.815907669 + 1.454545455 Combine like terms: -1.454545455 + 1.454545455 = 0.000000000 0.000000000 + a = 1.815907669 + 1.454545455 a = 1.815907669 + 1.454545455 Combine like terms: 1.815907669 + 1.454545455 = 3.270453124 a = 3.270453124 Simplifying a = 3.270453124Subproblem 2
a + -1.454545455 = -1.815907669 Simplifying a + -1.454545455 = -1.815907669 Reorder the terms: -1.454545455 + a = -1.815907669 Solving -1.454545455 + a = -1.815907669 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.454545455' to each side of the equation. -1.454545455 + 1.454545455 + a = -1.815907669 + 1.454545455 Combine like terms: -1.454545455 + 1.454545455 = 0.000000000 0.000000000 + a = -1.815907669 + 1.454545455 a = -1.815907669 + 1.454545455 Combine like terms: -1.815907669 + 1.454545455 = -0.361362214 a = -0.361362214 Simplifying a = -0.361362214Solution
The solution to the problem is based on the solutions from the subproblems. a = {3.270453124, -0.361362214}
| 9w/12=10/12 | | 8z+1/6=9z+5/6 | | x^3+108x-21x^2-156=0 | | =x+2+2(x-1) | | 8.3=x-6.3 | | 3(x+3)=-12 | | 5x^2-11x=2x+3 | | 8x^2-16x-82=0 | | 4b^2+8b+7= | | 3(x+2)=2(2-x) | | -4x+2y=8solvey | | 3x+2x+3x=36 | | 46+2q=84 | | 15+3x=8+2x | | -14+6y+4y=-6 | | 12x+42=10x-2x-14 | | -124=-8c | | n=-18 | | 7x-4=9x+10 | | 4*2-x-6-4*2-4=x | | 7=2x-8 | | -15-6y-2y=0 | | 3.6p-p=x-0.4p | | 64x^2-25=25 | | 11=-8y+5y | | 1=y-3x | | 9t-11t=16 | | 3y^2+20y+12= | | 11+5y=55 | | 34+1.7x=11.9 | | -6p+7+7p=13 | | 1/12y+2=-15 |