If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4a2 + 8a + -30 = 0 Reorder the terms: -30 + 8a + 4a2 = 0 Solving -30 + 8a + 4a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + 4a + 2a2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + 4a + 2a2)' equal to zero and attempt to solve: Simplifying -15 + 4a + 2a2 = 0 Solving -15 + 4a + 2a2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -7.5 + 2a + a2 = 0 Move the constant term to the right: Add '7.5' to each side of the equation. -7.5 + 2a + 7.5 + a2 = 0 + 7.5 Reorder the terms: -7.5 + 7.5 + 2a + a2 = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 2a + a2 = 0 + 7.5 2a + a2 = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 2a + a2 = 7.5 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 = 7.5 + 1 Reorder the terms: 1 + 2a + a2 = 7.5 + 1 Combine like terms: 7.5 + 1 = 8.5 1 + 2a + a2 = 8.5 Factor a perfect square on the left side: (a + 1)(a + 1) = 8.5 Calculate the square root of the right side: 2.915475947 Break this problem into two subproblems by setting (a + 1) equal to 2.915475947 and -2.915475947.Subproblem 1
a + 1 = 2.915475947 Simplifying a + 1 = 2.915475947 Reorder the terms: 1 + a = 2.915475947 Solving 1 + a = 2.915475947 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 = 2.915475947 + -1 Combine like terms: 1 + -1 = 0 0 + a = 2.915475947 + -1 a = 2.915475947 + -1 Combine like terms: 2.915475947 + -1 = 1.915475947 a = 1.915475947 Simplifying a = 1.915475947Subproblem 2
a + 1 = -2.915475947 Simplifying a + 1 = -2.915475947 Reorder the terms: 1 + a = -2.915475947 Solving 1 + a = -2.915475947 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 = -2.915475947 + -1 Combine like terms: 1 + -1 = 0 0 + a = -2.915475947 + -1 a = -2.915475947 + -1 Combine like terms: -2.915475947 + -1 = -3.915475947 a = -3.915475947 Simplifying a = -3.915475947Solution
The solution to the problem is based on the solutions from the subproblems. a = {1.915475947, -3.915475947}Solution
a = {1.915475947, -3.915475947}
| 12b/10a÷3b/5ab | | 6m^2+23m+7= | | 5-8[7-(4y-9)]= | | 10(7-y)+4=-4(y-3)-7 | | xsquared=2 | | 15y^2+26y+7=0 | | 16t-10=13t-2 | | 2r^2+8r-64=0 | | 0.1*(0.5-x)+0.9*(0.5+x)=0.5 | | (-8)-(+4)= | | 36v^2-32v+27v-24= | | S=-4+-2jt | | 5-21=6x-8-5x | | y-4=22 | | 3/5(x-20) | | -2w+5s=3 | | 3(x+6)-5= | | x=18-6(-17) | | -24z^5+20z^4+16z^3= | | (+6)-(-3)= | | 220+0.56x=336.48 | | 7x=8x-12 | | -b+4+1=10 | | 25x-50=-23/x | | -4u+2(u-2)=16 | | 10-6y+4y+9y= | | 40.89+.20m=100 | | 5y=3x-y | | 3-s=2tj+7 | | 5y+2x+y=180 | | -6=0.25+b | | 250-2w=50 |