If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -5a2 + 16a = -54 Reorder the terms: 16a + -5a2 = -54 Solving 16a + -5a2 = -54 Solving for variable 'a'. Reorder the terms: 54 + 16a + -5a2 = -54 + 54 Combine like terms: -54 + 54 = 0 54 + 16a + -5a2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. -10.8 + -3.2a + a2 = 0 Move the constant term to the right: Add '10.8' to each side of the equation. -10.8 + -3.2a + 10.8 + a2 = 0 + 10.8 Reorder the terms: -10.8 + 10.8 + -3.2a + a2 = 0 + 10.8 Combine like terms: -10.8 + 10.8 = 0.0 0.0 + -3.2a + a2 = 0 + 10.8 -3.2a + a2 = 0 + 10.8 Combine like terms: 0 + 10.8 = 10.8 -3.2a + a2 = 10.8 The a term is -3.2a. Take half its coefficient (-1.6). Square it (2.56) and add it to both sides. Add '2.56' to each side of the equation. -3.2a + 2.56 + a2 = 10.8 + 2.56 Reorder the terms: 2.56 + -3.2a + a2 = 10.8 + 2.56 Combine like terms: 10.8 + 2.56 = 13.36 2.56 + -3.2a + a2 = 13.36 Factor a perfect square on the left side: (a + -1.6)(a + -1.6) = 13.36 Calculate the square root of the right side: 3.655133377 Break this problem into two subproblems by setting (a + -1.6) equal to 3.655133377 and -3.655133377.Subproblem 1
a + -1.6 = 3.655133377 Simplifying a + -1.6 = 3.655133377 Reorder the terms: -1.6 + a = 3.655133377 Solving -1.6 + a = 3.655133377 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.6' to each side of the equation. -1.6 + 1.6 + a = 3.655133377 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + a = 3.655133377 + 1.6 a = 3.655133377 + 1.6 Combine like terms: 3.655133377 + 1.6 = 5.255133377 a = 5.255133377 Simplifying a = 5.255133377Subproblem 2
a + -1.6 = -3.655133377 Simplifying a + -1.6 = -3.655133377 Reorder the terms: -1.6 + a = -3.655133377 Solving -1.6 + a = -3.655133377 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.6' to each side of the equation. -1.6 + 1.6 + a = -3.655133377 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + a = -3.655133377 + 1.6 a = -3.655133377 + 1.6 Combine like terms: -3.655133377 + 1.6 = -2.055133377 a = -2.055133377 Simplifying a = -2.055133377Solution
The solution to the problem is based on the solutions from the subproblems. a = {5.255133377, -2.055133377}
| 5a^2-8a=162 | | 5a^1-8a=162 | | 4*(x+2)=5*x+23 | | 2*2+7=4*2+3 | | 8t+4=3(3+5) | | -6m-18=-2m+10 | | 10x+1=2x+12 | | -(1-x)+3= | | (3+1)*(2*3-3)=2*3*(3+5)-12*3 | | 4x^2+25x+25=O | | -10=10-2v | | -2b+3=39 | | x^2+6x+26=-5-2 | | x^2+3x+2.25=-1+2.25 | | 10p+9-11-p=2(2p-4)-3(2p-2) | | -5d+1=6d+6 | | (3x^3-6x)(x+1)=0 | | -3(-1+6r)=14r | | -5d+1=6d+d | | 4(-15+2)=5*-15+23 | | 10y+15=35-12y | | 8b^5c^4+6b^4c^5-4b^4c^5= | | 8x+57=5x | | -1+2(1+7x)= | | 3(3x-6)-3x= | | 12x-22=0 | | x^2+8x+96=165 | | R-17=15 | | 5ln(2x+2)=22 | | 2x^3+x^2-10x=0 | | -8-5(1+4p)= | | 0y=0x-2 |