If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 800a + -1a2 = 31692.94 Solving 800a + -1a2 = 31692.94 Solving for variable 'a'. Reorder the terms: -31692.94 + 800a + -1a2 = 31692.94 + -31692.94 Combine like terms: 31692.94 + -31692.94 = 0.00 -31692.94 + 800a + -1a2 = 0.00 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 31692.94 + -800a + a2 = 0.00 Move the constant term to the right: Add '-31692.94' to each side of the equation. 31692.94 + -800a + -31692.94 + a2 = 0.00 + -31692.94 Reorder the terms: 31692.94 + -31692.94 + -800a + a2 = 0.00 + -31692.94 Combine like terms: 31692.94 + -31692.94 = 0.00 0.00 + -800a + a2 = 0.00 + -31692.94 -800a + a2 = 0.00 + -31692.94 Combine like terms: 0.00 + -31692.94 = -31692.94 -800a + a2 = -31692.94 The a term is -800a. Take half its coefficient (-400). Square it (160000) and add it to both sides. Add '160000' to each side of the equation. -800a + 160000 + a2 = -31692.94 + 160000 Reorder the terms: 160000 + -800a + a2 = -31692.94 + 160000 Combine like terms: -31692.94 + 160000 = 128307.06 160000 + -800a + a2 = 128307.06 Factor a perfect square on the left side: (a + -400)(a + -400) = 128307.06 Calculate the square root of the right side: 358.199748744 Break this problem into two subproblems by setting (a + -400) equal to 358.199748744 and -358.199748744.Subproblem 1
a + -400 = 358.199748744 Simplifying a + -400 = 358.199748744 Reorder the terms: -400 + a = 358.199748744 Solving -400 + a = 358.199748744 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '400' to each side of the equation. -400 + 400 + a = 358.199748744 + 400 Combine like terms: -400 + 400 = 0 0 + a = 358.199748744 + 400 a = 358.199748744 + 400 Combine like terms: 358.199748744 + 400 = 758.199748744 a = 758.199748744 Simplifying a = 758.199748744Subproblem 2
a + -400 = -358.199748744 Simplifying a + -400 = -358.199748744 Reorder the terms: -400 + a = -358.199748744 Solving -400 + a = -358.199748744 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '400' to each side of the equation. -400 + 400 + a = -358.199748744 + 400 Combine like terms: -400 + 400 = 0 0 + a = -358.199748744 + 400 a = -358.199748744 + 400 Combine like terms: -358.199748744 + 400 = 41.800251256 a = 41.800251256 Simplifying a = 41.800251256Solution
The solution to the problem is based on the solutions from the subproblems. a = {758.199748744, 41.800251256}
| x^2+3x=170 | | 400a-a^2=15846.47 | | 2g+h+2g+3h=0 | | s^2-95s-905500=0 | | 3t^3+5t^2+2t=0 | | (3a+5)(2a-3)= | | 2g+h+2g+3h=5g+4h | | 14x+2=11x+17 | | 9x-7=x+9 | | 6(2a-3)=22.8 | | 2y-8=5y | | 3x-5y=39 | | 10x+8=6x+12 | | 4x+9y=5 | | 5a+13=4a-7 | | 23-3= | | 1/2y+1=5y-7 | | x^2+12x-29=0 | | 5n+24=30 | | 5000+50x-x^2=0 | | 12-x*2=5-0.5*x | | 2bsquared+b=6 | | 7(x+8)=-14 | | 5(a-4)=70 | | 588=56x+x^2 | | 2(3x+4)=24 | | 3p+4=5p-8 | | 1026.5=59.5x+x^2 | | 5(4a-3)=15a | | 8m+6b= | | 874=41x+x^2 | | 1629=53.4x+x^2 |