If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4a2 + 16a + -100 = -4 Reorder the terms: -100 + 16a + 4a2 = -4 Solving -100 + 16a + 4a2 = -4 Solving for variable 'a'. Reorder the terms: -100 + 4 + 16a + 4a2 = -4 + 4 Combine like terms: -100 + 4 = -96 -96 + 16a + 4a2 = -4 + 4 Combine like terms: -4 + 4 = 0 -96 + 16a + 4a2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-24 + 4a + a2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-24 + 4a + a2)' equal to zero and attempt to solve: Simplifying -24 + 4a + a2 = 0 Solving -24 + 4a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '24' to each side of the equation. -24 + 4a + 24 + a2 = 0 + 24 Reorder the terms: -24 + 24 + 4a + a2 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 4a + a2 = 0 + 24 4a + a2 = 0 + 24 Combine like terms: 0 + 24 = 24 4a + a2 = 24 The a term is 4a. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4a + 4 + a2 = 24 + 4 Reorder the terms: 4 + 4a + a2 = 24 + 4 Combine like terms: 24 + 4 = 28 4 + 4a + a2 = 28 Factor a perfect square on the left side: (a + 2)(a + 2) = 28 Calculate the square root of the right side: 5.291502622 Break this problem into two subproblems by setting (a + 2) equal to 5.291502622 and -5.291502622.Subproblem 1
a + 2 = 5.291502622 Simplifying a + 2 = 5.291502622 Reorder the terms: 2 + a = 5.291502622 Solving 2 + a = 5.291502622 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a = 5.291502622 + -2 Combine like terms: 2 + -2 = 0 0 + a = 5.291502622 + -2 a = 5.291502622 + -2 Combine like terms: 5.291502622 + -2 = 3.291502622 a = 3.291502622 Simplifying a = 3.291502622Subproblem 2
a + 2 = -5.291502622 Simplifying a + 2 = -5.291502622 Reorder the terms: 2 + a = -5.291502622 Solving 2 + a = -5.291502622 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a = -5.291502622 + -2 Combine like terms: 2 + -2 = 0 0 + a = -5.291502622 + -2 a = -5.291502622 + -2 Combine like terms: -5.291502622 + -2 = -7.291502622 a = -7.291502622 Simplifying a = -7.291502622Solution
The solution to the problem is based on the solutions from the subproblems. a = {3.291502622, -7.291502622}Solution
a = {3.291502622, -7.291502622}
| ln(x+4)=2 | | X^2-2x-63-0=0 | | 15=9+2 | | 5x+4x-6=12 | | 4a+16a-100=-4 | | 3y-6x+4=0 | | 0.2(10x+17)=3(0.2x+5) | | 4x+18=-2x-18 | | 1/2x-11=-13 | | 7x-0y=28 | | 0.2(10x+17)=3(0.2+5) | | 5x^2-53x+30=0 | | 2x+2.2=0.5x+12.5 | | 40-22x+x^2= | | %OFLATECASESFROMTOTAL | | -2(x+2)=-8x-16 | | 15(x-3)=7x-9 | | (3t+9)-(2t+7)=9 | | 27=-6x+3(x+6) | | 780=3x^2-22x+48 | | 1/8x=-24 | | -1.3x=9x+19.62 | | 168=96-x | | Y/8=-24 | | -7x+(3)=21 | | 3v^2+6v-104=-7 | | -24*1/8 | | 45=3+7m | | 55*d=2-5d | | -7x+(2)=21 | | 4-4x+11y=15 | | 39x-2+38x+1=180 |