If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2a2 + 3a + -7 = 25 Reorder the terms: -7 + 3a + 2a2 = 25 Solving -7 + 3a + 2a2 = 25 Solving for variable 'a'. Reorder the terms: -7 + -25 + 3a + 2a2 = 25 + -25 Combine like terms: -7 + -25 = -32 -32 + 3a + 2a2 = 25 + -25 Combine like terms: 25 + -25 = 0 -32 + 3a + 2a2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -16 + 1.5a + a2 = 0 Move the constant term to the right: Add '16' to each side of the equation. -16 + 1.5a + 16 + a2 = 0 + 16 Reorder the terms: -16 + 16 + 1.5a + a2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 1.5a + a2 = 0 + 16 1.5a + a2 = 0 + 16 Combine like terms: 0 + 16 = 16 1.5a + a2 = 16 The a term is 1.5a. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5a + 0.5625 + a2 = 16 + 0.5625 Reorder the terms: 0.5625 + 1.5a + a2 = 16 + 0.5625 Combine like terms: 16 + 0.5625 = 16.5625 0.5625 + 1.5a + a2 = 16.5625 Factor a perfect square on the left side: (a + 0.75)(a + 0.75) = 16.5625 Calculate the square root of the right side: 4.069705149 Break this problem into two subproblems by setting (a + 0.75) equal to 4.069705149 and -4.069705149.Subproblem 1
a + 0.75 = 4.069705149 Simplifying a + 0.75 = 4.069705149 Reorder the terms: 0.75 + a = 4.069705149 Solving 0.75 + a = 4.069705149 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + a = 4.069705149 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + a = 4.069705149 + -0.75 a = 4.069705149 + -0.75 Combine like terms: 4.069705149 + -0.75 = 3.319705149 a = 3.319705149 Simplifying a = 3.319705149Subproblem 2
a + 0.75 = -4.069705149 Simplifying a + 0.75 = -4.069705149 Reorder the terms: 0.75 + a = -4.069705149 Solving 0.75 + a = -4.069705149 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + a = -4.069705149 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + a = -4.069705149 + -0.75 a = -4.069705149 + -0.75 Combine like terms: -4.069705149 + -0.75 = -4.819705149 a = -4.819705149 Simplifying a = -4.819705149Solution
The solution to the problem is based on the solutions from the subproblems. a = {3.319705149, -4.819705149}
| -101=5y | | 2x+0.25x=3 | | 2a^2+3a-7=10 | | (2x-5)*(6+x)=2x-7x+12 | | 5th-26=18t | | 7t+3=19 | | 10.85/a=3.5 | | -100=5y | | 8x^2=22x-21 | | 2a^2+3a-7=40 | | x+(x-336)=30452 | | 7h-12=51 | | 4x-0.5x-3=0.5 | | t/3-1=16 | | 3G+4g-2g=30 | | 2y^2+9y=(y+2)(y+7) | | 0.8(x+20)+0.6x=65 | | 5v=24 | | 5(f-2)=25 | | .06x+0.09x(x+200)=63 | | 2a^2+3a-7=20 | | 3q+15=21 | | 7+4x=36 | | 78+5y-34=16y-12-3y | | 10(s-5)=-107 | | 26x-3=75 | | 30-5x=6-8x | | 13(t-2)+8t=7(3t+4)-12 | | 9+i=x | | 38+4y-11=14y-13-2y | | 1+9i=x | | 5y+5x=2 |