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 = 10 Reorder the terms: -7 + 3a + 2a2 = 10 Solving -7 + 3a + 2a2 = 10 Solving for variable 'a'. Reorder the terms: -7 + -10 + 3a + 2a2 = 10 + -10 Combine like terms: -7 + -10 = -17 -17 + 3a + 2a2 = 10 + -10 Combine like terms: 10 + -10 = 0 -17 + 3a + 2a2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -8.5 + 1.5a + a2 = 0 Move the constant term to the right: Add '8.5' to each side of the equation. -8.5 + 1.5a + 8.5 + a2 = 0 + 8.5 Reorder the terms: -8.5 + 8.5 + 1.5a + a2 = 0 + 8.5 Combine like terms: -8.5 + 8.5 = 0.0 0.0 + 1.5a + a2 = 0 + 8.5 1.5a + a2 = 0 + 8.5 Combine like terms: 0 + 8.5 = 8.5 1.5a + a2 = 8.5 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 = 8.5 + 0.5625 Reorder the terms: 0.5625 + 1.5a + a2 = 8.5 + 0.5625 Combine like terms: 8.5 + 0.5625 = 9.0625 0.5625 + 1.5a + a2 = 9.0625 Factor a perfect square on the left side: (a + 0.75)(a + 0.75) = 9.0625 Calculate the square root of the right side: 3.010398645 Break this problem into two subproblems by setting (a + 0.75) equal to 3.010398645 and -3.010398645.Subproblem 1
a + 0.75 = 3.010398645 Simplifying a + 0.75 = 3.010398645 Reorder the terms: 0.75 + a = 3.010398645 Solving 0.75 + a = 3.010398645 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 = 3.010398645 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + a = 3.010398645 + -0.75 a = 3.010398645 + -0.75 Combine like terms: 3.010398645 + -0.75 = 2.260398645 a = 2.260398645 Simplifying a = 2.260398645Subproblem 2
a + 0.75 = -3.010398645 Simplifying a + 0.75 = -3.010398645 Reorder the terms: 0.75 + a = -3.010398645 Solving 0.75 + a = -3.010398645 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 = -3.010398645 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + a = -3.010398645 + -0.75 a = -3.010398645 + -0.75 Combine like terms: -3.010398645 + -0.75 = -3.760398645 a = -3.760398645 Simplifying a = -3.760398645Solution
The solution to the problem is based on the solutions from the subproblems. a = {2.260398645, -3.760398645}
| (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 | | 8(3s+6)=312 | | 5x+5y=2fory | | 7(2l+7)=133 |