If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16a2 + -24a + 7 = 0 Reorder the terms: 7 + -24a + 16a2 = 0 Solving 7 + -24a + 16a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.4375 + -1.5a + a2 = 0 Move the constant term to the right: Add '-0.4375' to each side of the equation. 0.4375 + -1.5a + -0.4375 + a2 = 0 + -0.4375 Reorder the terms: 0.4375 + -0.4375 + -1.5a + a2 = 0 + -0.4375 Combine like terms: 0.4375 + -0.4375 = 0.0000 0.0000 + -1.5a + a2 = 0 + -0.4375 -1.5a + a2 = 0 + -0.4375 Combine like terms: 0 + -0.4375 = -0.4375 -1.5a + a2 = -0.4375 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 = -0.4375 + 0.5625 Reorder the terms: 0.5625 + -1.5a + a2 = -0.4375 + 0.5625 Combine like terms: -0.4375 + 0.5625 = 0.125 0.5625 + -1.5a + a2 = 0.125 Factor a perfect square on the left side: (a + -0.75)(a + -0.75) = 0.125 Calculate the square root of the right side: 0.353553391 Break this problem into two subproblems by setting (a + -0.75) equal to 0.353553391 and -0.353553391.Subproblem 1
a + -0.75 = 0.353553391 Simplifying a + -0.75 = 0.353553391 Reorder the terms: -0.75 + a = 0.353553391 Solving -0.75 + a = 0.353553391 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 = 0.353553391 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + a = 0.353553391 + 0.75 a = 0.353553391 + 0.75 Combine like terms: 0.353553391 + 0.75 = 1.103553391 a = 1.103553391 Simplifying a = 1.103553391Subproblem 2
a + -0.75 = -0.353553391 Simplifying a + -0.75 = -0.353553391 Reorder the terms: -0.75 + a = -0.353553391 Solving -0.75 + a = -0.353553391 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 = -0.353553391 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + a = -0.353553391 + 0.75 a = -0.353553391 + 0.75 Combine like terms: -0.353553391 + 0.75 = 0.396446609 a = 0.396446609 Simplifying a = 0.396446609Solution
The solution to the problem is based on the solutions from the subproblems. a = {1.103553391, 0.396446609}
| .8x*.01X=1.07 | | -7b+4b= | | -5z-8z-6z= | | .8X*.01X=X | | .8X+.01X=X | | 4(2-2j)= | | 10x^2=50x | | x^4+2x^3+-3x^2+-5x+6=0 | | 5(x+2)=20cm | | 1.2x-4y=28 | | (4+w)(4w-9)=0 | | 3+y^2=100 | | x^8+-7x^4+12=0 | | 16=2 | | 8x^2+38x-10=0 | | 5y+3y(y+2)=54 | | (2x+10)=(3x+5) | | 19x-28=20x | | 0.4(40)+0.6x=0.5(40+x) | | 6x^2+3x-6=0 | | x^2+12x+36=-5 | | -5y+4=-4+8y | | 2r^2+r+17=0 | | 6y+2y= | | 7x-6y=22 | | 1/2(5y-2)+1/4(6y+5)= | | 22x-6x=12+4x | | 8x+3x-4x=28 | | -(3xy-8)+3(3xy+5)= | | 5(x-7)=7(2x+1)-9 | | 7y-15y=-46-58 | | In(2x)-3=0 |