If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 18 + 65a + -7a2 = 0 Solving 18 + 65a + -7a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. -2.571428571 + -9.285714286a + a2 = 0 Move the constant term to the right: Add '2.571428571' to each side of the equation. -2.571428571 + -9.285714286a + 2.571428571 + a2 = 0 + 2.571428571 Reorder the terms: -2.571428571 + 2.571428571 + -9.285714286a + a2 = 0 + 2.571428571 Combine like terms: -2.571428571 + 2.571428571 = 0.000000000 0.000000000 + -9.285714286a + a2 = 0 + 2.571428571 -9.285714286a + a2 = 0 + 2.571428571 Combine like terms: 0 + 2.571428571 = 2.571428571 -9.285714286a + a2 = 2.571428571 The a term is -9.285714286a. Take half its coefficient (-4.642857143). Square it (21.55612245) and add it to both sides. Add '21.55612245' to each side of the equation. -9.285714286a + 21.55612245 + a2 = 2.571428571 + 21.55612245 Reorder the terms: 21.55612245 + -9.285714286a + a2 = 2.571428571 + 21.55612245 Combine like terms: 2.571428571 + 21.55612245 = 24.127551021 21.55612245 + -9.285714286a + a2 = 24.127551021 Factor a perfect square on the left side: (a + -4.642857143)(a + -4.642857143) = 24.127551021 Calculate the square root of the right side: 4.911980356 Break this problem into two subproblems by setting (a + -4.642857143) equal to 4.911980356 and -4.911980356.Subproblem 1
a + -4.642857143 = 4.911980356 Simplifying a + -4.642857143 = 4.911980356 Reorder the terms: -4.642857143 + a = 4.911980356 Solving -4.642857143 + a = 4.911980356 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4.642857143' to each side of the equation. -4.642857143 + 4.642857143 + a = 4.911980356 + 4.642857143 Combine like terms: -4.642857143 + 4.642857143 = 0.000000000 0.000000000 + a = 4.911980356 + 4.642857143 a = 4.911980356 + 4.642857143 Combine like terms: 4.911980356 + 4.642857143 = 9.554837499 a = 9.554837499 Simplifying a = 9.554837499Subproblem 2
a + -4.642857143 = -4.911980356 Simplifying a + -4.642857143 = -4.911980356 Reorder the terms: -4.642857143 + a = -4.911980356 Solving -4.642857143 + a = -4.911980356 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4.642857143' to each side of the equation. -4.642857143 + 4.642857143 + a = -4.911980356 + 4.642857143 Combine like terms: -4.642857143 + 4.642857143 = 0.000000000 0.000000000 + a = -4.911980356 + 4.642857143 a = -4.911980356 + 4.642857143 Combine like terms: -4.911980356 + 4.642857143 = -0.269123213 a = -0.269123213 Simplifying a = -0.269123213Solution
The solution to the problem is based on the solutions from the subproblems. a = {9.554837499, -0.269123213}
| 72+9c=81+6c | | 2k+10k+10+8k=140 | | 17-n=29 | | 3(3y-10)2y=3 | | 7t-t-7=5t-6 | | x+3.987=12.5897 | | s=3h+3w | | 4n-3=5 | | 13=-6+23+x | | 5x+x-8=5x+6 | | 4(n-7)=2(2n+41) | | 2x^2+x+5=0 | | x-5.98=1.255 | | x-32=67 | | x-12=45 | | 4x^2+9+2=11 | | (x^2-4xy-5y^2)=0 | | h^2+8h-48= | | 4u-8=44 | | 18-n=23 | | 2(n+3)=8 | | b^2-16= | | f^2+12f+20= | | 0=3y+18 | | 3x[14-(-2)]-30= | | 0=-16t^2+9+46 | | s^2-16s+48= | | o^2-10o-56= | | (a^2-3a-28)=0 | | p^2+13p+40= | | -7(t-8)-(t+3)=3 | | a^2-6a-72= |