If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5a2 + 10a + -11 = 0 Reorder the terms: -11 + 10a + 5a2 = 0 Solving -11 + 10a + 5a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -2.2 + 2a + a2 = 0 Move the constant term to the right: Add '2.2' to each side of the equation. -2.2 + 2a + 2.2 + a2 = 0 + 2.2 Reorder the terms: -2.2 + 2.2 + 2a + a2 = 0 + 2.2 Combine like terms: -2.2 + 2.2 = 0.0 0.0 + 2a + a2 = 0 + 2.2 2a + a2 = 0 + 2.2 Combine like terms: 0 + 2.2 = 2.2 2a + a2 = 2.2 The a term is 2a. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2a + 1 + a2 = 2.2 + 1 Reorder the terms: 1 + 2a + a2 = 2.2 + 1 Combine like terms: 2.2 + 1 = 3.2 1 + 2a + a2 = 3.2 Factor a perfect square on the left side: (a + 1)(a + 1) = 3.2 Calculate the square root of the right side: 1.788854382 Break this problem into two subproblems by setting (a + 1) equal to 1.788854382 and -1.788854382.Subproblem 1
a + 1 = 1.788854382 Simplifying a + 1 = 1.788854382 Reorder the terms: 1 + a = 1.788854382 Solving 1 + a = 1.788854382 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a = 1.788854382 + -1 Combine like terms: 1 + -1 = 0 0 + a = 1.788854382 + -1 a = 1.788854382 + -1 Combine like terms: 1.788854382 + -1 = 0.788854382 a = 0.788854382 Simplifying a = 0.788854382Subproblem 2
a + 1 = -1.788854382 Simplifying a + 1 = -1.788854382 Reorder the terms: 1 + a = -1.788854382 Solving 1 + a = -1.788854382 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a = -1.788854382 + -1 Combine like terms: 1 + -1 = 0 0 + a = -1.788854382 + -1 a = -1.788854382 + -1 Combine like terms: -1.788854382 + -1 = -2.788854382 a = -2.788854382 Simplifying a = -2.788854382Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.788854382, -2.788854382}
| 12-4y+3y=13 | | 12x+17=21x-10 | | X+3x+12x=320 | | 9x+12=12x-15 | | (x/4)+(x/x+6) | | 6+3=1218 | | 0,75t*t-9/2t+6=0 | | 5X-3=15-93 | | 4x/3y-5y/2x | | 22+3x=9x-14 | | 1/3^3+10X^2+84X | | -3Q^2+12Q=0 | | 50r^2+40rf+8f^2=0 | | 25x^2y^2+60xy+36=0 | | 30x^2-xy-y^2=0 | | -3[6+(-8)]= | | -10-(-8)= | | 6s^2+11sp-35p^2=0 | | -10(8)= | | a+1/a=4 | | 12r^3+10r^2-12r=0 | | 49b^2+27b+4=0 | | 4/5*10/11 | | (x+1)*x/2+x*50=y | | 3k^2-3k=0 | | 85+-7x=29x+17 | | 85-7x=29+17 | | 10/x+8=10 | | 2a+3b=40 | | 13x-5=6x+2 | | 12x+27xy=0 | | 6X-5Y=34 |