If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 56.25a2 + 1215a + 45 = 0 Reorder the terms: 45 + 1215a + 56.25a2 = 0 Solving 45 + 1215a + 56.25a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 56.25 the coefficient of the squared term: Divide each side by '56.25'. 0.8 + 21.6a + a2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 21.6a + -0.8 + a2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 21.6a + a2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 21.6a + a2 = 0 + -0.8 21.6a + a2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 21.6a + a2 = -0.8 The a term is 21.6a. Take half its coefficient (10.8). Square it (116.64) and add it to both sides. Add '116.64' to each side of the equation. 21.6a + 116.64 + a2 = -0.8 + 116.64 Reorder the terms: 116.64 + 21.6a + a2 = -0.8 + 116.64 Combine like terms: -0.8 + 116.64 = 115.84 116.64 + 21.6a + a2 = 115.84 Factor a perfect square on the left side: (a + 10.8)(a + 10.8) = 115.84 Calculate the square root of the right side: 10.762899238 Break this problem into two subproblems by setting (a + 10.8) equal to 10.762899238 and -10.762899238.Subproblem 1
a + 10.8 = 10.762899238 Simplifying a + 10.8 = 10.762899238 Reorder the terms: 10.8 + a = 10.762899238 Solving 10.8 + a = 10.762899238 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10.8' to each side of the equation. 10.8 + -10.8 + a = 10.762899238 + -10.8 Combine like terms: 10.8 + -10.8 = 0.0 0.0 + a = 10.762899238 + -10.8 a = 10.762899238 + -10.8 Combine like terms: 10.762899238 + -10.8 = -0.037100762 a = -0.037100762 Simplifying a = -0.037100762Subproblem 2
a + 10.8 = -10.762899238 Simplifying a + 10.8 = -10.762899238 Reorder the terms: 10.8 + a = -10.762899238 Solving 10.8 + a = -10.762899238 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10.8' to each side of the equation. 10.8 + -10.8 + a = -10.762899238 + -10.8 Combine like terms: 10.8 + -10.8 = 0.0 0.0 + a = -10.762899238 + -10.8 a = -10.762899238 + -10.8 Combine like terms: -10.762899238 + -10.8 = -21.562899238 a = -21.562899238 Simplifying a = -21.562899238Solution
The solution to the problem is based on the solutions from the subproblems. a = {-0.037100762, -21.562899238}
| 167-u=15 | | 2X+11x+24= | | 230=6-x | | -8a+7-5a-3= | | 5x=3xy | | 2y=3t-20 | | -y+189=275 | | Y=(T+6)/x | | 251-y=151 | | 7x-3y=52 | | 54=-x+156 | | -7w+2(w-8)=14 | | 56a^2+1215a+45=0 | | 56a^2+21215a+45=0 | | (X^3/5)/(X^6/5)(X^-5) | | 17=3(x+4)+2x | | 12q+32r=7 | | (7+10)x^2+(6+10)y^2+7x+9y+2=0 | | h=-16t^2+32t+48forh | | -28=6(v-8)-2v | | 3x-15=35-3x | | h=-16t^2+32t+48forgivens | | 16-1=17 | | H=-16t^2+32t+42 | | 3q+2r=1 | | 2y+30=y | | 16+1=17 | | 3/(5-x)=-15 | | 4x^2-13t+3=0 | | -3(5x-6)=11 | | 3p+4=0 | | 5/6x+1/2=7/6 |