If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2a2 + 6a + 3 = 0 Reorder the terms: 3 + 6a + 2a2 = 0 Solving 3 + 6a + 2a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + 3a + a2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 3a + -1.5 + a2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 3a + a2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 3a + a2 = 0 + -1.5 3a + a2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 3a + a2 = -1.5 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 = -1.5 + 2.25 Reorder the terms: 2.25 + 3a + a2 = -1.5 + 2.25 Combine like terms: -1.5 + 2.25 = 0.75 2.25 + 3a + a2 = 0.75 Factor a perfect square on the left side: (a + 1.5)(a + 1.5) = 0.75 Calculate the square root of the right side: 0.866025404 Break this problem into two subproblems by setting (a + 1.5) equal to 0.866025404 and -0.866025404.Subproblem 1
a + 1.5 = 0.866025404 Simplifying a + 1.5 = 0.866025404 Reorder the terms: 1.5 + a = 0.866025404 Solving 1.5 + a = 0.866025404 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 = 0.866025404 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + a = 0.866025404 + -1.5 a = 0.866025404 + -1.5 Combine like terms: 0.866025404 + -1.5 = -0.633974596 a = -0.633974596 Simplifying a = -0.633974596Subproblem 2
a + 1.5 = -0.866025404 Simplifying a + 1.5 = -0.866025404 Reorder the terms: 1.5 + a = -0.866025404 Solving 1.5 + a = -0.866025404 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 = -0.866025404 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + a = -0.866025404 + -1.5 a = -0.866025404 + -1.5 Combine like terms: -0.866025404 + -1.5 = -2.366025404 a = -2.366025404 Simplifying a = -2.366025404Solution
The solution to the problem is based on the solutions from the subproblems. a = {-0.633974596, -2.366025404}
| 2a^2+3a+4=0 | | 25/4=x+13/8 | | 3(0.1c-.03+2c)= | | 7x+3x=180+120 | | -2x=y+6 | | 10x+29(x-4)=118 | | 2y-x=-15 | | 6+3x+3x=24 | | f(x)=-9x+7x+6 | | 20=8+36+12x | | -20x^2+15x+64=25 | | =(3r^3)(2t^2)(4r^4) | | 5x+10=4x | | 4log(3x-10)+10=12 | | 9(0.17)+5=4(0.17+2)+5(0.17) | | X^2+7x+12.25=12.25 | | 6n-30-11n=0 | | y=-9x-1 | | 3x-1+12=18 | | 0=-16t^2-5t+100 | | 14x+7y=49 | | 2(-3x+10)+7=12 | | 3*-9*-4= | | 7(x+10)=3x+78 | | 10*3+2(x)=38 | | 4ln(3x-10)+10=12 | | y=2x+98 | | 7x-5=4-2x+3 | | 3x^4-8x^3+6x^2+12x-2=0 | | 7x+45=24 | | 2b-7+4b+b-3b-1= | | 3y+14y-6y-9y+1-y-3y= |