If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5 = -16x2 + 90x Reorder the terms: 5 = 90x + -16x2 Solving 5 = 90x + -16x2 Solving for variable 'x'. Reorder the terms: 5 + -90x + 16x2 = 90x + -90x + -16x2 + 16x2 Combine like terms: 90x + -90x = 0 5 + -90x + 16x2 = 0 + -16x2 + 16x2 5 + -90x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 5 + -90x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.3125 + -5.625x + x2 = 0 Move the constant term to the right: Add '-0.3125' to each side of the equation. 0.3125 + -5.625x + -0.3125 + x2 = 0 + -0.3125 Reorder the terms: 0.3125 + -0.3125 + -5.625x + x2 = 0 + -0.3125 Combine like terms: 0.3125 + -0.3125 = 0.0000 0.0000 + -5.625x + x2 = 0 + -0.3125 -5.625x + x2 = 0 + -0.3125 Combine like terms: 0 + -0.3125 = -0.3125 -5.625x + x2 = -0.3125 The x term is -5.625x. Take half its coefficient (-2.8125). Square it (7.91015625) and add it to both sides. Add '7.91015625' to each side of the equation. -5.625x + 7.91015625 + x2 = -0.3125 + 7.91015625 Reorder the terms: 7.91015625 + -5.625x + x2 = -0.3125 + 7.91015625 Combine like terms: -0.3125 + 7.91015625 = 7.59765625 7.91015625 + -5.625x + x2 = 7.59765625 Factor a perfect square on the left side: (x + -2.8125)(x + -2.8125) = 7.59765625 Calculate the square root of the right side: 2.756384634 Break this problem into two subproblems by setting (x + -2.8125) equal to 2.756384634 and -2.756384634.Subproblem 1
x + -2.8125 = 2.756384634 Simplifying x + -2.8125 = 2.756384634 Reorder the terms: -2.8125 + x = 2.756384634 Solving -2.8125 + x = 2.756384634 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.8125' to each side of the equation. -2.8125 + 2.8125 + x = 2.756384634 + 2.8125 Combine like terms: -2.8125 + 2.8125 = 0.0000 0.0000 + x = 2.756384634 + 2.8125 x = 2.756384634 + 2.8125 Combine like terms: 2.756384634 + 2.8125 = 5.568884634 x = 5.568884634 Simplifying x = 5.568884634Subproblem 2
x + -2.8125 = -2.756384634 Simplifying x + -2.8125 = -2.756384634 Reorder the terms: -2.8125 + x = -2.756384634 Solving -2.8125 + x = -2.756384634 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.8125' to each side of the equation. -2.8125 + 2.8125 + x = -2.756384634 + 2.8125 Combine like terms: -2.8125 + 2.8125 = 0.0000 0.0000 + x = -2.756384634 + 2.8125 x = -2.756384634 + 2.8125 Combine like terms: -2.756384634 + 2.8125 = 0.056115366 x = 0.056115366 Simplifying x = 0.056115366Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.568884634, 0.056115366}
| -2(-4s+n)= | | x+3+14=78 | | x/21.23=(-3.5) | | 15x-3=30x-7 | | 2x+5y=146 | | 6z+8-4z=50-4z | | ((5(x-3))/6)-x=1-x/9 | | 5n+3+4n=3o | | 8z+1-5z=57-5z | | 18=-9(u+2) | | 3x=2(8x) | | x+35+x+x-17=180 | | 2m/0.7=-8 | | 7sin(5x)=6 | | 10y=63+y | | 15-1=4x+3x+15 | | 8z+1-52=57-5z | | X/6*100 | | -8(7+9q)= | | 6z+8-42=50-4z | | 15y+2= | | -55n+28n+21n+71-n= | | 11y-5y=12 | | x-2=5(39-x)-3 | | 2x+5y=2x+5y | | z-44=-16 | | 10x+5y+9x+3y= | | 3x-9=-7x+1 | | -3(6p+4)-2(6-17p)=3(2+5p) | | 7m=9m+32 | | 87h=324l | | x+1.5x=23 |