If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3a2 + -9a + -11 = -3 Reorder the terms: -11 + -9a + 3a2 = -3 Solving -11 + -9a + 3a2 = -3 Solving for variable 'a'. Reorder the terms: -11 + 3 + -9a + 3a2 = -3 + 3 Combine like terms: -11 + 3 = -8 -8 + -9a + 3a2 = -3 + 3 Combine like terms: -3 + 3 = 0 -8 + -9a + 3a2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -2.666666667 + -3a + a2 = 0 Move the constant term to the right: Add '2.666666667' to each side of the equation. -2.666666667 + -3a + 2.666666667 + a2 = 0 + 2.666666667 Reorder the terms: -2.666666667 + 2.666666667 + -3a + a2 = 0 + 2.666666667 Combine like terms: -2.666666667 + 2.666666667 = 0.000000000 0.000000000 + -3a + a2 = 0 + 2.666666667 -3a + a2 = 0 + 2.666666667 Combine like terms: 0 + 2.666666667 = 2.666666667 -3a + a2 = 2.666666667 The a term is -3a. 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. -3a + 2.25 + a2 = 2.666666667 + 2.25 Reorder the terms: 2.25 + -3a + a2 = 2.666666667 + 2.25 Combine like terms: 2.666666667 + 2.25 = 4.916666667 2.25 + -3a + a2 = 4.916666667 Factor a perfect square on the left side: (a + -1.5)(a + -1.5) = 4.916666667 Calculate the square root of the right side: 2.217355783 Break this problem into two subproblems by setting (a + -1.5) equal to 2.217355783 and -2.217355783.Subproblem 1
a + -1.5 = 2.217355783 Simplifying a + -1.5 = 2.217355783 Reorder the terms: -1.5 + a = 2.217355783 Solving -1.5 + a = 2.217355783 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + a = 2.217355783 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + a = 2.217355783 + 1.5 a = 2.217355783 + 1.5 Combine like terms: 2.217355783 + 1.5 = 3.717355783 a = 3.717355783 Simplifying a = 3.717355783Subproblem 2
a + -1.5 = -2.217355783 Simplifying a + -1.5 = -2.217355783 Reorder the terms: -1.5 + a = -2.217355783 Solving -1.5 + a = -2.217355783 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + a = -2.217355783 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + a = -2.217355783 + 1.5 a = -2.217355783 + 1.5 Combine like terms: -2.217355783 + 1.5 = -0.717355783 a = -0.717355783 Simplifying a = -0.717355783Solution
The solution to the problem is based on the solutions from the subproblems. a = {3.717355783, -0.717355783}
| -10=52 | | 38=-38 | | 8*x-12= | | (x-y)dy-(x+y-4)dx=0 | | 300+0.05x=600+0.01 | | 10=28 | | -x-4(x-3)=5(4-x) | | d=57*5 | | 3.8x-2.3y=22.5 | | X^2+y^2-3x+10y-5=0 | | -5x+-9=6 | | log(5x-4)/logx=log2 | | log(5x-4)/logx=log2 | | 5e=15 | | 5e=15 | | 4x-(3x+2)=6x-32 | | 3k^2-18k+24=0 | | .66666667-.25=1.3333333+.5 | | kx^2+3kx+2k=-x^2-2x-1 | | -1d=-12 | | 4x-1=12x | | 7x+45=465 | | 0=7644*x^4+7644*x^3+7644*x^2+7644*x-493096*x^5 | | (5x-3)+(4x-7)+(2x-6)=0 | | 2x-18=4x+22 | | 8x-14=2x+6 | | 493096*x^5=7644*x^4+7644*x^3+7644*x^2+7644*x | | 493096*x^5=7644*x^4 | | 8y+x=24 | | 2x+3(x+2)=46 | | -4x-5=3-2x | | -1x=5x^4-7x+10 |