If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -11a2 + 7a = -166 Reorder the terms: 7a + -11a2 = -166 Solving 7a + -11a2 = -166 Solving for variable 'a'. Reorder the terms: 166 + 7a + -11a2 = -166 + 166 Combine like terms: -166 + 166 = 0 166 + 7a + -11a2 = 0 Begin completing the square. Divide all terms by -11 the coefficient of the squared term: Divide each side by '-11'. -15.09090909 + -0.6363636364a + a2 = 0 Move the constant term to the right: Add '15.09090909' to each side of the equation. -15.09090909 + -0.6363636364a + 15.09090909 + a2 = 0 + 15.09090909 Reorder the terms: -15.09090909 + 15.09090909 + -0.6363636364a + a2 = 0 + 15.09090909 Combine like terms: -15.09090909 + 15.09090909 = 0.00000000 0.00000000 + -0.6363636364a + a2 = 0 + 15.09090909 -0.6363636364a + a2 = 0 + 15.09090909 Combine like terms: 0 + 15.09090909 = 15.09090909 -0.6363636364a + a2 = 15.09090909 The a term is -0.6363636364a. Take half its coefficient (-0.3181818182). Square it (0.1012396694) and add it to both sides. Add '0.1012396694' to each side of the equation. -0.6363636364a + 0.1012396694 + a2 = 15.09090909 + 0.1012396694 Reorder the terms: 0.1012396694 + -0.6363636364a + a2 = 15.09090909 + 0.1012396694 Combine like terms: 15.09090909 + 0.1012396694 = 15.1921487594 0.1012396694 + -0.6363636364a + a2 = 15.1921487594 Factor a perfect square on the left side: (a + -0.3181818182)(a + -0.3181818182) = 15.1921487594 Calculate the square root of the right side: 3.897710708 Break this problem into two subproblems by setting (a + -0.3181818182) equal to 3.897710708 and -3.897710708.Subproblem 1
a + -0.3181818182 = 3.897710708 Simplifying a + -0.3181818182 = 3.897710708 Reorder the terms: -0.3181818182 + a = 3.897710708 Solving -0.3181818182 + a = 3.897710708 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.3181818182' to each side of the equation. -0.3181818182 + 0.3181818182 + a = 3.897710708 + 0.3181818182 Combine like terms: -0.3181818182 + 0.3181818182 = 0.0000000000 0.0000000000 + a = 3.897710708 + 0.3181818182 a = 3.897710708 + 0.3181818182 Combine like terms: 3.897710708 + 0.3181818182 = 4.2158925262 a = 4.2158925262 Simplifying a = 4.2158925262Subproblem 2
a + -0.3181818182 = -3.897710708 Simplifying a + -0.3181818182 = -3.897710708 Reorder the terms: -0.3181818182 + a = -3.897710708 Solving -0.3181818182 + a = -3.897710708 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.3181818182' to each side of the equation. -0.3181818182 + 0.3181818182 + a = -3.897710708 + 0.3181818182 Combine like terms: -0.3181818182 + 0.3181818182 = 0.0000000000 0.0000000000 + a = -3.897710708 + 0.3181818182 a = -3.897710708 + 0.3181818182 Combine like terms: -3.897710708 + 0.3181818182 = -3.5795288898 a = -3.5795288898 Simplifying a = -3.5795288898Solution
The solution to the problem is based on the solutions from the subproblems. a = {4.2158925262, -3.5795288898}
| 3x=-3y+13 | | x^2+5x-275=0 | | 18+6a=42 | | 165=5r | | x+9y=-4 | | -248=-253 | | 38=3c+23 | | X1/3-2 | | 3(x-6)=2(3x-24) | | 6n+16=52 | | h=505-2t | | 20+2c=8 | | 5+1X*10=X | | -6u-47=5(u+6) | | 3(x+4)=6x+30 | | -2=-13+x | | sinx-|cosx|/cosx | | h+2t=505 | | -8y+32=2(y-4) | | -19=n-6 | | 15=10+p | | -2.7+1.3=x | | 6b+2=20 | | -28=n-13 | | x+1.3=2.7 | | -17-1/3=4 | | 19=10+x | | 3(2x)+2x+x=153 | | 9+5x=-5x-21 | | 9=12+n | | -6m=4-8m | | d/4-4=4 |