If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4a2 + 5a + -24 = 0 Reorder the terms: -24 + 5a + 4a2 = 0 Solving -24 + 5a + 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'. -6 + 1.25a + a2 = 0 Move the constant term to the right: Add '6' to each side of the equation. -6 + 1.25a + 6 + a2 = 0 + 6 Reorder the terms: -6 + 6 + 1.25a + a2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1.25a + a2 = 0 + 6 1.25a + a2 = 0 + 6 Combine like terms: 0 + 6 = 6 1.25a + a2 = 6 The a term is 1.25a. Take half its coefficient (0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. 1.25a + 0.390625 + a2 = 6 + 0.390625 Reorder the terms: 0.390625 + 1.25a + a2 = 6 + 0.390625 Combine like terms: 6 + 0.390625 = 6.390625 0.390625 + 1.25a + a2 = 6.390625 Factor a perfect square on the left side: (a + 0.625)(a + 0.625) = 6.390625 Calculate the square root of the right side: 2.527968552 Break this problem into two subproblems by setting (a + 0.625) equal to 2.527968552 and -2.527968552.Subproblem 1
a + 0.625 = 2.527968552 Simplifying a + 0.625 = 2.527968552 Reorder the terms: 0.625 + a = 2.527968552 Solving 0.625 + a = 2.527968552 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.625' to each side of the equation. 0.625 + -0.625 + a = 2.527968552 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + a = 2.527968552 + -0.625 a = 2.527968552 + -0.625 Combine like terms: 2.527968552 + -0.625 = 1.902968552 a = 1.902968552 Simplifying a = 1.902968552Subproblem 2
a + 0.625 = -2.527968552 Simplifying a + 0.625 = -2.527968552 Reorder the terms: 0.625 + a = -2.527968552 Solving 0.625 + a = -2.527968552 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.625' to each side of the equation. 0.625 + -0.625 + a = -2.527968552 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + a = -2.527968552 + -0.625 a = -2.527968552 + -0.625 Combine like terms: -2.527968552 + -0.625 = -3.152968552 a = -3.152968552 Simplifying a = -3.152968552Solution
The solution to the problem is based on the solutions from the subproblems. a = {1.902968552, -3.152968552}
| S=1.5x+6.3 | | 14-2(3x-2)=22-14 | | 6*3n=54 | | 6*3n=65 | | 5x-x=320 | | 5.6=c/1.2 | | 24b^2-6b=4b^2-2b | | a^2-12a-28=0 | | .6(2x+6)=3x+9 | | 3x+4(1-x)=5 | | -15=5+6k | | 1972+2(34*h)+2(29*h)=10666 | | m/2=46 | | 5x-x=228 | | -4/9x-3=-7/5x-3 | | 2x-5-b=4x-8 | | 9+2x=23-5x | | 5x-x=260 | | g^2+g=272 | | 5+4x=17+7x | | (y-3)(9y-6)= | | p/1=18 | | -3x+29=-2x-6 | | -23n=0.805 | | 8x+3=7x+10 | | a=-2+-b+2x | | -4-(-5)+(-3)= | | X-7=x+3.4 | | -41=-2-130 | | cos(x)cosh(x)+1=0 | | 3x-5+2=25 | | -20+x=11 |