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 + 96 = 0 Reorder the terms: 96 + 16a + -4a2 = 0 Solving 96 + 16a + -4a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(24 + 4a + -1a2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(24 + 4a + -1a2)' equal to zero and attempt to solve: Simplifying 24 + 4a + -1a2 = 0 Solving 24 + 4a + -1a2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -24 + -4a + a2 = 0 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 = 7.291502622 a = 7.291502622 Simplifying a = 7.291502622Subproblem 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 = -3.291502622 a = -3.291502622 Simplifying a = -3.291502622Solution
The solution to the problem is based on the solutions from the subproblems. a = {7.291502622, -3.291502622}Solution
a = {7.291502622, -3.291502622}
| x^4-2x^3-12x^2+18x+27=0 | | (L+x)=5L | | B-5=-10 | | -106=7(7+3k)-8 | | 6.25x=230 | | 198=-6(2-5x) | | (4-9i)-(2+3i)=0 | | 26x-4=360 | | 4(1+8x)-2=194 | | y+(y+30)+40=180 | | -4(5k-8)=-108 | | -8X+14=-22(4X-7) | | -7a=13a-65 | | 15x+5=60 | | 28x=175 | | 3(5y+6)=2(4y-5) | | 1/2x0.83= | | 2(n+4)=2(3f-6) | | -7(1+6n)=-133 | | -8+6x-2=9x+2 | | 7/10x-13=3/10 | | 4m+kr+3=7k+mj | | -6(6+4x)=-132 | | 51a-5b=44a | | (5/3)×6=10 | | (4a-5)-8(-2.5+3)= | | (4a-5)-8(-20.5+3)= | | 8(p-6)=-88 | | 24=h/18-16-15 | | -2x+-6=2x+-6 | | 135=-5(4p+5) | | 5x-30=6x-80 |