If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4a2 + 6a + -3 = 0 Reorder the terms: -3 + 6a + 4a2 = 0 Solving -3 + 6a + 4a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.75 + 1.5a + a2 = 0 Move the constant term to the right: Add '0.75' to each side of the equation. -0.75 + 1.5a + 0.75 + a2 = 0 + 0.75 Reorder the terms: -0.75 + 0.75 + 1.5a + a2 = 0 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 1.5a + a2 = 0 + 0.75 1.5a + a2 = 0 + 0.75 Combine like terms: 0 + 0.75 = 0.75 1.5a + a2 = 0.75 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 = 0.75 + 0.5625 Reorder the terms: 0.5625 + 1.5a + a2 = 0.75 + 0.5625 Combine like terms: 0.75 + 0.5625 = 1.3125 0.5625 + 1.5a + a2 = 1.3125 Factor a perfect square on the left side: (a + 0.75)(a + 0.75) = 1.3125 Calculate the square root of the right side: 1.145643924 Break this problem into two subproblems by setting (a + 0.75) equal to 1.145643924 and -1.145643924.Subproblem 1
a + 0.75 = 1.145643924 Simplifying a + 0.75 = 1.145643924 Reorder the terms: 0.75 + a = 1.145643924 Solving 0.75 + a = 1.145643924 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 = 1.145643924 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + a = 1.145643924 + -0.75 a = 1.145643924 + -0.75 Combine like terms: 1.145643924 + -0.75 = 0.395643924 a = 0.395643924 Simplifying a = 0.395643924Subproblem 2
a + 0.75 = -1.145643924 Simplifying a + 0.75 = -1.145643924 Reorder the terms: 0.75 + a = -1.145643924 Solving 0.75 + a = -1.145643924 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 = -1.145643924 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + a = -1.145643924 + -0.75 a = -1.145643924 + -0.75 Combine like terms: -1.145643924 + -0.75 = -1.895643924 a = -1.895643924 Simplifying a = -1.895643924Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.395643924, -1.895643924}
| 6s=1.5s+18 | | 2y-a=r | | 8*x+6.5*y=34.5 | | 6x-22=-10x+26 | | 2(3x+5)=(10x-20)-4x | | h=-9h+-20 | | 6z=9x+4y | | a=9a+-20 | | 0.55x+.05(10-x)=.10(-55) | | a=na+-20 | | 70x+(30*(x*.5))=910 | | -2(8m+8)-5=8(6-6m)-5 | | 13(x-1)=7x+35 | | 2(y-22)+4(y-3)=40 | | 0.50x+0.15(30)=39.5 | | 4i=-7i+55 | | -10m+300=300 | | 45=(4x+5) | | 36=27x-7x | | Y+-7=-5 | | 5i=i+72 | | x+0.12x=2210500 | | A=4900*0.10 | | 24k-29=6(3+4k) | | 7n=-5n+-48 | | -5.7+2.6=14.02 | | 8-2(3-4x)=5(x-4) | | -[4x-[-2x-(3x+6)]]=4-[-x+(2x-1)] | | 4(-a-1)=4(a-1)+4a | | -7n=-5n+-48 | | -6m^2-13m+15=0 | | -4(x+5)=-5(x+4) |