If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3a2 + 2a + -3 = 0 Reorder the terms: -3 + 2a + 3a2 = 0 Solving -3 + 2a + 3a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -1 + 0.6666666667a + a2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + 0.6666666667a + 1 + a2 = 0 + 1 Reorder the terms: -1 + 1 + 0.6666666667a + a2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 0.6666666667a + a2 = 0 + 1 0.6666666667a + a2 = 0 + 1 Combine like terms: 0 + 1 = 1 0.6666666667a + a2 = 1 The a term is 0.6666666667a. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667a + 0.1111111112 + a2 = 1 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667a + a2 = 1 + 0.1111111112 Combine like terms: 1 + 0.1111111112 = 1.1111111112 0.1111111112 + 0.6666666667a + a2 = 1.1111111112 Factor a perfect square on the left side: (a + 0.3333333334)(a + 0.3333333334) = 1.1111111112 Calculate the square root of the right side: 1.054092553 Break this problem into two subproblems by setting (a + 0.3333333334) equal to 1.054092553 and -1.054092553.Subproblem 1
a + 0.3333333334 = 1.054092553 Simplifying a + 0.3333333334 = 1.054092553 Reorder the terms: 0.3333333334 + a = 1.054092553 Solving 0.3333333334 + a = 1.054092553 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + a = 1.054092553 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + a = 1.054092553 + -0.3333333334 a = 1.054092553 + -0.3333333334 Combine like terms: 1.054092553 + -0.3333333334 = 0.7207592196 a = 0.7207592196 Simplifying a = 0.7207592196Subproblem 2
a + 0.3333333334 = -1.054092553 Simplifying a + 0.3333333334 = -1.054092553 Reorder the terms: 0.3333333334 + a = -1.054092553 Solving 0.3333333334 + a = -1.054092553 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + a = -1.054092553 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + a = -1.054092553 + -0.3333333334 a = -1.054092553 + -0.3333333334 Combine like terms: -1.054092553 + -0.3333333334 = -1.3874258864 a = -1.3874258864 Simplifying a = -1.3874258864Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.7207592196, -1.3874258864}
| 3w-1=-6w+17 | | -5+12+3a=9a-7a | | 2(1)=3 | | 6x-7=9+5x | | b^2-6b=40 | | (x-3)(x^2+3x+9)-x(x+4)(x-4)=21 | | -12w-8=2(-6w-4) | | 11x=5y+12 | | 3y+2x=520 | | x-2(x^2-7x-9(-1))=y | | 8ln(7x)=24 | | 4x-8+x+2=4 | | 2(3x+4)=11 | | 2x^2+15x+9=y | | 6x+12=-4x-5 | | 12y^2+3y^2-15=0 | | 4x-20=2x+50 | | (5p+10)=(p+1) | | -12r+3=-33 | | 2(1-p^2)=3(p-6) | | 8a+a^2=9 | | 15=4n+3 | | 8a+a^2=0 | | h(-6)=8+7n | | 2x^2-2x-6= | | .7x=76 | | 3(px+qy)+5(rx+5y)=75x+100y | | X^4-6x-720=0 | | -10t-18=-2(5t+9) | | (4x)-3ln(x^2)=ln(2) | | 2(x+8)+3x=x-4 | | 16x+32=0 |