If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 24a2 + 360a + -15 = 0 Reorder the terms: -15 + 360a + 24a2 = 0 Solving -15 + 360a + 24a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + 120a + 8a2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + 120a + 8a2)' equal to zero and attempt to solve: Simplifying -5 + 120a + 8a2 = 0 Solving -5 + 120a + 8a2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -0.625 + 15a + a2 = 0 Move the constant term to the right: Add '0.625' to each side of the equation. -0.625 + 15a + 0.625 + a2 = 0 + 0.625 Reorder the terms: -0.625 + 0.625 + 15a + a2 = 0 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + 15a + a2 = 0 + 0.625 15a + a2 = 0 + 0.625 Combine like terms: 0 + 0.625 = 0.625 15a + a2 = 0.625 The a term is 15a. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15a + 56.25 + a2 = 0.625 + 56.25 Reorder the terms: 56.25 + 15a + a2 = 0.625 + 56.25 Combine like terms: 0.625 + 56.25 = 56.875 56.25 + 15a + a2 = 56.875 Factor a perfect square on the left side: (a + 7.5)(a + 7.5) = 56.875 Calculate the square root of the right side: 7.541551564 Break this problem into two subproblems by setting (a + 7.5) equal to 7.541551564 and -7.541551564.Subproblem 1
a + 7.5 = 7.541551564 Simplifying a + 7.5 = 7.541551564 Reorder the terms: 7.5 + a = 7.541551564 Solving 7.5 + a = 7.541551564 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + a = 7.541551564 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + a = 7.541551564 + -7.5 a = 7.541551564 + -7.5 Combine like terms: 7.541551564 + -7.5 = 0.041551564 a = 0.041551564 Simplifying a = 0.041551564Subproblem 2
a + 7.5 = -7.541551564 Simplifying a + 7.5 = -7.541551564 Reorder the terms: 7.5 + a = -7.541551564 Solving 7.5 + a = -7.541551564 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + a = -7.541551564 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + a = -7.541551564 + -7.5 a = -7.541551564 + -7.5 Combine like terms: -7.541551564 + -7.5 = -15.041551564 a = -15.041551564 Simplifying a = -15.041551564Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.041551564, -15.041551564}Solution
a = {0.041551564, -15.041551564}
| 1+x=(-9) | | 3w+7=22 | | 4n^2+2n-3=0 | | 1/3x-3=-1 | | 9(9j+5)+3j= | | 4n^2+6n-3=0 | | x-(-8)=-4 | | 4n^2+12n-3=0 | | 6*x*h+h^2/5h | | 82.5*5=x | | 0=x^2+9x+256 | | x=8-1/4-6 | | 56=45+6 | | 4(.6n-3)-.2(2n-3)= | | 3/4n+6=15 | | 10a^2=180 | | -4b-8+4b=-8 | | 0.75(4x-8)=12 | | 4x^2-15=241 | | 4x-2.7=4.3-3x | | -10x+(-5x)-6=129 | | 24=1-6k-7 | | 40*6=y | | 12-5= | | 9x+10x+11=87 | | 640=2(3w-12)+w | | 40*6= | | -5y^2+13=3 | | Y=-4(4) | | 4x+10=-5x-(-82) | | 6x+18/18 | | (0,2*0,7)-(4*0,01)/0,5*0,2 |