If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 14 = 3a + a2 Solving 14 = 3a + a2 Solving for variable 'a'. Reorder the terms: 14 + -3a + -1a2 = 3a + -3a + a2 + -1a2 Combine like terms: 3a + -3a = 0 14 + -3a + -1a2 = 0 + a2 + -1a2 14 + -3a + -1a2 = a2 + -1a2 Combine like terms: a2 + -1a2 = 0 14 + -3a + -1a2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -14 + 3a + a2 = 0 Move the constant term to the right: Add '14' to each side of the equation. -14 + 3a + 14 + a2 = 0 + 14 Reorder the terms: -14 + 14 + 3a + a2 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3a + a2 = 0 + 14 3a + a2 = 0 + 14 Combine like terms: 0 + 14 = 14 3a + a2 = 14 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 = 14 + 2.25 Reorder the terms: 2.25 + 3a + a2 = 14 + 2.25 Combine like terms: 14 + 2.25 = 16.25 2.25 + 3a + a2 = 16.25 Factor a perfect square on the left side: (a + 1.5)(a + 1.5) = 16.25 Calculate the square root of the right side: 4.031128874 Break this problem into two subproblems by setting (a + 1.5) equal to 4.031128874 and -4.031128874.Subproblem 1
a + 1.5 = 4.031128874 Simplifying a + 1.5 = 4.031128874 Reorder the terms: 1.5 + a = 4.031128874 Solving 1.5 + a = 4.031128874 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 = 4.031128874 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + a = 4.031128874 + -1.5 a = 4.031128874 + -1.5 Combine like terms: 4.031128874 + -1.5 = 2.531128874 a = 2.531128874 Simplifying a = 2.531128874Subproblem 2
a + 1.5 = -4.031128874 Simplifying a + 1.5 = -4.031128874 Reorder the terms: 1.5 + a = -4.031128874 Solving 1.5 + a = -4.031128874 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 = -4.031128874 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + a = -4.031128874 + -1.5 a = -4.031128874 + -1.5 Combine like terms: -4.031128874 + -1.5 = -5.531128874 a = -5.531128874 Simplifying a = -5.531128874Solution
The solution to the problem is based on the solutions from the subproblems. a = {2.531128874, -5.531128874}
| 10x-4=6x+12 | | w/4=12 | | 6=3-10x | | 6.25*9.6= | | -2x+1y=-4 | | 12+x=x+2 | | 49r^2-64=0 | | 7x-22=2x+8 | | 25+.50x=100+.25x | | 1.25x-70=1.15x | | 0.3(21-3a)=6-a | | 3(7x-5)+2(11-4x)-4(3x+1)=-1 | | p^2=44-7p | | 110+130+x+(x-3)=360 | | -(3a+6b)= | | 8+3t=0 | | 15=6-12x | | 3+4x=5-6x | | 19=30-x | | 2(b+3)-(9+b)=-6 | | 1.8=0.6y | | 5(5k+2)-2(4k-3)= | | 3(k-5)=5(k-9) | | 4x-26=x+31 | | 66c=u-8 | | 4n+3=6n-5 | | 3a^2-6a= | | 6=13-x | | 7x+5=12x-5 | | 7x+8-36x-9=4x+2 | | 7n-28=54 | | -6x+13=-x+8 |